The number 76464
76464 is a composite number with 50 divisors. Its prime factorisation is × × 59. Divisors (50): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 59 … 76464.
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How to work it out
- 1
What is special about 76464: a Harshad number: divisible by its digit sum 27.
- 2
76464 is composite. Its prime factorisation is
- 3
The divisors add up to 225060; without 76464 itself that is 148596, so 76464 is abundant (148596 is more than 76464). Euler's totient φ(76464) = 25056 numbers up to 76464 share no factor with it.
- 4
The digits of 76464 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76464 = 2^{4} \times 3^{4} \times 59 \]76464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 50 |
| Sum of divisors | 225060 |
| Euler totient φ(n) | 25056 |
| Square | 5846743296 |
| Cube | 447065379385344 |
| Square root | 276.521247 (= 36√59) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.6464 × |
76464 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand four hundred and sixty-four |
| Binary (base 2) | 10010101010110000 |
| Octal (base 8) | 225260 |
| Hexadecimal (base 16) | 12AB0 |
| Base 3 | 10212220000 |
| As time | 76464 seconds = 21 h 14 min 24 s |
Is 76464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76464 ÷ 2 = 38232) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76464 ÷ 3 = 25488) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76464 ÷ 4 = 19116) | 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 | Yes (76464 ÷ 6 = 12744) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (76464 ÷ 8 = 9558) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (76464 ÷ 9 = 8496) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (76464 ÷ 12 = 6372) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76464 a prime number?
No. 76464 = × × 59, so it is divisible by 2.
What are the factors of 76464?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 59, 72, 81, 108, 118, 144, 162, 177, 216, 236, 324, 354, 432, 472, 531, 648, 708, 944, 1062, 1296, 1416, 1593, 2124, 2832, 3186, 4248, 4779, 6372, 8496, 9558, 12744, 19116, 25488, 38232, 76464.
What is 76464 in binary?
10010101010110000 (hexadecimal 12AB0, octal 225260).
What is the square root of 76464?
About 276.5212, exactly 36√59.
Is 76464 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 76464?
76464 is a Harshad number: divisible by its digit sum 27.