The number 50764
50764 is a composite number with 24 divisors. Its prime factorisation is × × 37. Divisors (24): 1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 343, 518, 686 … 50764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50764 is composite. Its prime factorisation is
- 3
The divisors add up to 106400; without 50764 itself that is 55636, so 50764 is abundant (55636 is more than 50764). Euler's totient φ(50764) = 21168 numbers up to 50764 share no factor with it.
- 4
The digits of 50764 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50764 = 2^{2} \times 7^{3} \times 37 \]50764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 106400 |
| Euler totient φ(n) | 21168 |
| Square | 2576983696 |
| Cube | 130818000343744 |
| Square root | 225.308677 (= 14√259) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.0764 × |
50764 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand seven hundred and sixty-four |
| Binary (base 2) | 1100011001001100 |
| Octal (base 8) | 143114 |
| Hexadecimal (base 16) | C64C |
| Base 3 | 2120122011 |
| As time | 50764 seconds = 14 h 6 min 4 s |
Is 50764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50764 ÷ 2 = 25382) | 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 (50764 ÷ 4 = 12691) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (50764 ÷ 7 = 7252) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 50764 a prime number?
No. 50764 = × × 37, so it is divisible by 2.
What are the factors of 50764?
1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 343, 518, 686, 1036, 1372, 1813, 3626, 7252, 12691, 25382, 50764.
What is 50764 in binary?
1100011001001100 (hexadecimal C64C, octal 143114).
What is the square root of 50764?
About 225.3087, exactly 14√259.
Is 50764 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 50764?
It is a composite number with 24 divisors.