The number 50920
50920 is a composite number with 32 divisors. Its prime factorisation is × 5 × 19 × 67. Divisors (32): 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 67, 76, 95, 134, 152, 190 … 50920.
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How to work it out
- 1
50920 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50920 is composite. Its prime factorisation is
- 3
The divisors add up to 122400; without 50920 itself that is 71480, so 50920 is abundant (71480 is more than 50920). Euler's totient φ(50920) = 19008 numbers up to 50920 share no factor with it.
- 4
The digits of 50920 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50920 = 2^{3} \times 5 \times 19 \times 67 \]50920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 122400 |
| Euler totient φ(n) | 19008 |
| Square | 2592846400 |
| Cube | 132027738688000 |
| Square root | 225.654603 (= 2√12730) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.092 × |
50920 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand nine hundred and twenty |
| Binary (base 2) | 1100011011101000 |
| Octal (base 8) | 143350 |
| Hexadecimal (base 16) | C6E8 |
| Base 3 | 2120211221 |
| As time | 50920 seconds = 14 h 8 min 40 s |
Is 50920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50920 ÷ 2 = 25460) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50920 ÷ 4 = 12730) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50920 ÷ 5 = 10184) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (50920 ÷ 8 = 6365) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (50920 ÷ 10 = 5092) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50920 a prime number?
No. 50920 = × 5 × 19 × 67, so it is divisible by 2.
What are the factors of 50920?
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 67, 76, 95, 134, 152, 190, 268, 335, 380, 536, 670, 760, 1273, 1340, 2546, 2680, 5092, 6365, 10184, 12730, 25460, 50920.
What is 50920 in binary?
1100011011101000 (hexadecimal C6E8, octal 143350).
What is the square root of 50920?
About 225.6546, exactly 2√12730.
Is 50920 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 50920?
It is a composite number with 32 divisors.