The number 50976
50976 is a composite number with 48 divisors. Its prime factorisation is × × 59. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54 … 50976.
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How to work it out
- 1
What is special about 50976: a Harshad number: divisible by its digit sum 27.
- 2
50976 is composite. Its prime factorisation is
- 3
The divisors add up to 151200; without 50976 itself that is 100224, so 50976 is abundant (100224 is more than 50976). Euler's totient φ(50976) = 16704 numbers up to 50976 share no factor with it.
- 4
The digits of 50976 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50976 = 2^{5} \times 3^{3} \times 59 \]50976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 151200 |
| Euler totient φ(n) | 16704 |
| Square | 2598552576 |
| Cube | 132463816114176 |
| Square root | 225.778653 (= 12√354) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.0976 × |
50976 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand nine hundred and seventy-six |
| Binary (base 2) | 1100011100100000 |
| Octal (base 8) | 143440 |
| Hexadecimal (base 16) | C720 |
| Base 3 | 2120221000 |
| As time | 50976 seconds = 14 h 9 min 36 s |
Is 50976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50976 ÷ 2 = 25488) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50976 ÷ 3 = 16992) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50976 ÷ 4 = 12744) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50976 ÷ 6 = 8496) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (50976 ÷ 8 = 6372) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50976 ÷ 9 = 5664) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50976 ÷ 12 = 4248) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50976 a prime number?
No. 50976 = × × 59, so it is divisible by 2.
What are the factors of 50976?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 59, 72, 96, 108, 118, 144, 177, 216, 236, 288, 354, 432, 472, 531, 708, 864, 944, 1062, 1416, 1593, 1888, 2124, 2832, 3186, 4248, 5664, 6372, 8496, 12744, 16992, 25488, 50976.
What is 50976 in binary?
1100011100100000 (hexadecimal C720, octal 143440).
What is the square root of 50976?
About 225.7787, exactly 12√354.
Is 50976 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 50976?
50976 is a Harshad number: divisible by its digit sum 27.