## 56784

56,784 (fifty-six thousand seven hundred eighty-four) is an even five-digits composite number following 56783 and preceding 56785. In scientific notation, it is written as 5.6784 × 104. The sum of its digits is 30. It has a total of 8 prime factors and 60 positive divisors. There are 14,976 positive integers (up to 56784) that are relatively prime to 56784.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 5
• Sum of Digits 30
• Digital Root 3

## Name

Short name 56 thousand 784 fifty-six thousand seven hundred eighty-four

## Notation

Scientific notation 5.6784 × 104 56.784 × 103

## Prime Factorization of 56784

Prime Factorization 24 × 3 × 7 × 132

Composite number
Distinct Factors Total Factors Radical ω(n) 4 Total number of distinct prime factors Ω(n) 8 Total number of prime factors rad(n) 546 Product of the distinct prime numbers λ(n) 1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) 0 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ(n) 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 56,784 is 24 × 3 × 7 × 132. Since it has a total of 8 prime factors, 56,784 is a composite number.

## Divisors of 56784

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 39, 42, 48, 52, 56, 78, 84, 91, 104, 112, 156, 168, 169, 182, 208, 273, 312, 336, 338, 364, 507, 546, 624, 676, 728, 1014, 1092, 1183, 1352, 1456, 2028, 2184, 2366, 2704, 3549, 4056, 4368, 4732, 7098, 8112, 9464, 14196, 18928, 28392, 56784

60 divisors

 Even divisors 48 12 6 6
Total Divisors Sum of Divisors Aliquot Sum τ(n) 60 Total number of the positive divisors of n σ(n) 181536 Sum of all the positive divisors of n s(n) 124752 Sum of the proper positive divisors of n A(n) 3025.6 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 238.294 Returns the nth root of the product of n divisors H(n) 18.7678 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 56,784 can be divided by 60 positive divisors (out of which 48 are even, and 12 are odd). The sum of these divisors (counting 56,784) is 181,536, the average is 302,5.6.

## Other Arithmetic Functions (n = 56784)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 14976 Total number of positive integers not greater than n that are coprime to n λ(n) 312 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 5751 Total number of primes less than or equal to n r2(n) 0 The number of ways n can be represented as the sum of 2 squares

There are 14,976 positive integers (less than 56,784) that are coprime with 56,784. And there are approximately 5,751 prime numbers less than or equal to 56,784.

## Divisibility of 56784

 m n mod m 2 3 4 5 6 7 8 9 0 0 0 4 0 0 0 3

The number 56,784 is divisible by 2, 3, 4, 6, 7 and 8.

• Abundant

• Polite
• Practical

## Base conversion (56784)

Base System Value
2 Binary 1101110111010000
3 Ternary 2212220010
4 Quaternary 31313100
5 Quinary 3304114
6 Senary 1114520
8 Octal 156720
10 Decimal 56784
12 Duodecimal 28a40
20 Vigesimal 71j4
36 Base36 17tc

## Basic calculations (n = 56784)

### Multiplication

n×i
 n×2 113568 170352 227136 283920

### Division

ni
 n⁄2 28392 18928 14196 11356.8

### Exponentiation

ni
 n2 3224422656 183095616098304 10396901464526094336 590377652761649740775424

### Nth Root

i√n
 2√n 238.294 38.4363 15.4368 8.92987

## 56784 as geometric shapes

### Circle

 Diameter 113568 356784 1.01298e+10

### Sphere

 Volume 7.66949e+14 4.05193e+10 356784

### Square

Length = n
 Perimeter 227136 3.22442e+09 80304.7

### Cube

Length = n
 Surface area 1.93465e+10 1.83096e+14 98352.8

### Equilateral Triangle

Length = n
 Perimeter 170352 1.39622e+09 49176.4

### Triangular Pyramid

Length = n
 Surface area 5.58486e+09 2.1578e+13 46363.9
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