The number 57488
57488 is a composite number with 10 divisors. Its prime factorisation is × 3593. Divisors (10): 1, 2, 4, 8, 16, 3593, 7186, 14372, 28744, 57488.
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How to work it out
- 1
57488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57488 is composite. Its prime factorisation is
- 3
The divisors add up to 111414; without 57488 itself that is 53926, so 57488 is deficient (53926 is less than 57488). Euler's totient φ(57488) = 28736 numbers up to 57488 share no factor with it.
- 4
The digits of 57488 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57488 = 2^{4} \times 3593 \]57488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 111414 |
| Euler totient φ(n) | 28736 |
| Square | 3304870144 |
| Cube | 189990374838272 |
| Square root | 239.766553 (= 4√3593) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.7488 × |
57488 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and eighty-eight |
| Binary (base 2) | 1110000010010000 |
| Octal (base 8) | 160220 |
| Hexadecimal (base 16) | E090 |
| Base 3 | 2220212012 |
| As time | 57488 seconds = 15 h 58 min 8 s |
Is 57488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57488 ÷ 2 = 28744) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57488 ÷ 4 = 14372) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (57488 ÷ 8 = 7186) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57488 a prime number?
No. 57488 = × 3593, so it is divisible by 2.
What are the factors of 57488?
1, 2, 4, 8, 16, 3593, 7186, 14372, 28744, 57488.
What is 57488 in binary?
1110000010010000 (hexadecimal E090, octal 160220).
What is the square root of 57488?
About 239.7666, exactly 4√3593.
Is 57488 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 57488?
It is a composite number with 10 divisors.