## 54978

54,978 (fifty-four thousand nine hundred seventy-eight) is an even five-digits composite number following 54977 and preceding 54979. In scientific notation, it is written as 5.4978 × 104. The sum of its digits is 33. It has a total of 6 prime factors and 48 positive divisors. There are 13,440 positive integers (up to 54978) that are relatively prime to 54978.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 5
• Sum of Digits 33
• Digital Root 6

## Name

Short name 54 thousand 978 fifty-four thousand nine hundred seventy-eight

## Notation

Scientific notation 5.4978 × 104 54.978 × 103

## Prime Factorization of 54978

Prime Factorization 2 × 3 × 72 × 11 × 17

Composite number
Distinct Factors Total Factors Radical ω(n) 5 Total number of distinct prime factors Ω(n) 6 Total number of prime factors rad(n) 7854 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 54,978 is 2 × 3 × 72 × 11 × 17. Since it has a total of 6 prime factors, 54,978 is a composite number.

## Divisors of 54978

1, 2, 3, 6, 7, 11, 14, 17, 21, 22, 33, 34, 42, 49, 51, 66, 77, 98, 102, 119, 147, 154, 187, 231, 238, 294, 357, 374, 462, 539, 561, 714, 833, 1078, 1122, 1309, 1617, 1666, 2499, 2618, 3234, 3927, 4998, 7854, 9163, 18326, 27489, 54978

48 divisors

 Even divisors 24 24 12 12
Total Divisors Sum of Divisors Aliquot Sum τ(n) 48 Total number of the positive divisors of n σ(n) 147744 Sum of all the positive divisors of n s(n) 92766 Sum of the proper positive divisors of n A(n) 3078 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 234.474 Returns the nth root of the product of n divisors H(n) 17.8616 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 54,978 can be divided by 48 positive divisors (out of which 24 are even, and 24 are odd). The sum of these divisors (counting 54,978) is 147,744, the average is 3,078.

## Other Arithmetic Functions (n = 54978)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 13440 Total number of positive integers not greater than n that are coprime to n λ(n) 1680 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 5587 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 13,440 positive integers (less than 54,978) that are coprime with 54,978. And there are approximately 5,587 prime numbers less than or equal to 54,978.

## Divisibility of 54978

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

The number 54,978 is divisible by 2, 3, 6 and 7.

• Arithmetic
• Abundant

• Polite
• Practical

## Base conversion (54978)

Base System Value
2 Binary 1101011011000010
3 Ternary 2210102020
4 Quaternary 31123002
5 Quinary 3224403
6 Senary 1102310
8 Octal 153302
10 Decimal 54978
12 Duodecimal 27996
20 Vigesimal 6h8i
36 Base36 16f6

## Basic calculations (n = 54978)

### Multiplication

n×i
 n×2 109956 164934 219912 274890

### Division

ni
 n⁄2 27489 18326 13744.5 10995.6

### Exponentiation

ni
 n2 3022580484 166175429849352 9135992782257674256 502278611182962415246368

### Nth Root

i√n
 2√n 234.474 38.0245 15.3125 8.87233

## 54978 as geometric shapes

### Circle

 Diameter 109956 345437 9.49572e+09

### Sphere

 Volume 6.96074e+14 3.79829e+10 345437

### Square

Length = n
 Perimeter 219912 3.02258e+09 77750.6

### Cube

Length = n
 Surface area 1.81355e+10 1.66175e+14 95224.7

### Equilateral Triangle

Length = n
 Perimeter 164934 1.30882e+09 47612.3

### Triangular Pyramid

Length = n
 Surface area 5.23526e+09 1.9584e+13 44889.3
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