The number 57408
57408 is a composite number with 56 divisors. Its prime factorisation is × 3 × 13 × 23. Divisors (56): 1, 2, 3, 4, 6, 8, 12, 13, 16, 23, 24, 26, 32, 39, 46, 48 … 57408.
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How to work it out
- 1
What is special about 57408: a Harshad number: divisible by its digit sum 24.
- 2
57408 is composite. Its prime factorisation is
- 3
The divisors add up to 170688; without 57408 itself that is 113280, so 57408 is abundant (113280 is more than 57408). Euler's totient φ(57408) = 16896 numbers up to 57408 share no factor with it.
- 4
The digits of 57408 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57408 = 2^{6} \times 3 \times 13 \times 23 \]57408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 170688 |
| Euler totient φ(n) | 16896 |
| Square | 3295678464 |
| Cube | 189198309261312 |
| Square root | 239.599666 (= 8√897) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.7408 × |
57408 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and eight |
| Binary (base 2) | 1110000001000000 |
| Octal (base 8) | 160100 |
| Hexadecimal (base 16) | E040 |
| Base 3 | 2220202020 |
| As time | 57408 seconds = 15 h 56 min 48 s |
Is 57408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57408 ÷ 2 = 28704) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57408 ÷ 3 = 19136) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57408 ÷ 4 = 14352) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (57408 ÷ 6 = 9568) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (57408 ÷ 8 = 7176) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (57408 ÷ 12 = 4784) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57408 a prime number?
No. 57408 = × 3 × 13 × 23, so it is divisible by 2.
What are the factors of 57408?
1, 2, 3, 4, 6, 8, 12, 13, 16, 23, 24, 26, 32, 39, 46, 48, 52, 64, 69, 78, 92, 96, 104, 138, 156, 184, 192, 208, 276, 299, 312, 368, 416, 552, 598, 624, 736, 832, 897, 1104, 1196, 1248, 1472, 1794, 2208, 2392, 2496, 3588, 4416, 4784, 7176, 9568, 14352, 19136, 28704, 57408.
What is 57408 in binary?
1110000001000000 (hexadecimal E040, octal 160100).
What is the square root of 57408?
About 239.5997, exactly 8√897.
Is 57408 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 57408?
57408 is a Harshad number: divisible by its digit sum 24.