4048 (number)
4,048 (four thousand fortyeight) is an even fourdigits composite number following 4047 and preceding 4049. In scientific notation, it is written as 4.048 × 10^{3}. The sum of its digits is 16. It has a total of 6 prime factors and 20 positive divisors. There are 1,760 positive integers (up to 4048) that are relatively prime to 4048.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 4
 Sum of Digits 16
 Digital Root 7
Name
Short name  4 thousand 48 

Full name  four thousand fortyeight 
Notation
Scientific notation  4.048 × 10^{3} 

Engineering notation  4.048 × 10^{3} 
Prime Factorization of 4048
Prime Factorization 2^{4} × 11 × 23
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  6  Total number of prime factors 
rad(n)  Radical  506  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  0  Returns:

Λ(n)  Mangoldt function  0  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 4,048 is 2^{4} × 11 × 23. Since it has a total of 6 prime factors, 4,048 is a composite number.
Divisors of 4048
20 divisors
τ(n)  Total Divisors  20  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  8928  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  4880  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  446.4  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  63.623894882347  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  9.0681003584229  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 4,048 can be divided by 20 positive divisors (out of which 16 are even, and 4 are odd). The sum of these divisors (counting 4,048) is 8,928, the average is 44,6.4.
Other Arithmetic Functions (n = 4048)
φ(n)  Euler Totient  1760  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  440  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 560  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 1,760 positive integers (less than 4,048) that are coprime with 4,048. And there are approximately 560 prime numbers less than or equal to 4,048.
Divisibility of 4048
m  2  3  4  5  6  7  8  9 

n mod m  0  1  0  3  4  2  0  7 
The number 4,048 is divisible by 2, 4 and 8.
Classification of 4048
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
 Practical
 Nonhypotenuse
Base conversion (4048)
Base  System  Value 

2  Binary  111111010000 
3  Ternary  12112221 
4  Quaternary  333100 
5  Quinary  112143 
6  Senary  30424 
8  Octal  7720 
10  Decimal  4048 
12  Duodecimal  2414 
16  Hexadecimal  fd0 
20  Vigesimal  a28 
36  Base36  34g 
Basic calculations (n = 4048)
Multiplication
n×yn×2  8096 

n×3  12144 
n×4  16192 
n×5  20240 
Division
n÷yn÷2  2024.000 

n÷3  1349.333 
n÷4  1012.000 
n÷5  809.600 
Exponentiation
n^{y}n^{2}  16386304 

n^{3}  66331758592 
n^{4}  268510958780416 
n^{5}  1086932361143123968 
Nth Root
^{y}√n^{2}√n  63.623894882347 

^{3}√n  15.937254257392 
^{4}√n  7.9764587933711 
^{5}√n  5.2656028591506 
4048 as geometric shapes
Circle
Radius = nDiameter  8096 

Circumference  25434.334123463 
Area  51479092.265889 
Sphere
Radius = nVolume  277849820656.43 

Surface area  205916369.06356 
Circumference  25434.334123463 
Square
Length = nPerimeter  16192 

Area  16386304 
Diagonal  5724.7365004863 
Cube
Length = nSurface area  98317824 

Volume  66331758592 
Space diagonal  7011.3416690388 
Equilateral Triangle
Length = nPerimeter  12144 

Area  7095477.7690673 
Altitude  3505.6708345194 
Triangular Pyramid
Length = nSurface area  28381911.076269 

Volume  7817272718.072 
Height  3305.1781595954 
Cryptographic Hash Functions
md5  5901fe6483310c89c35b54455f2a5557 

sha1  ada27e5f9340b2c8713ce61b466bf1e422dbdf1c 
sha256  cbfb88946b86a506b3fe929406925a3122561acfd665a891785128b4ea4c5ca4 
sha512  d615f8d133a387627df8a8b2c319d5a2b4357cfd9b842a72c2773a75b014db038836152e86e45615ccad5fb6ad4d38f05e02c6f4292ccbfc8ed2b97d05c36770 
ripemd160  921b17e5bf90d6be9afcd1a5de8dc10656a0e172 