The number 57888
57888 is a composite number with 48 divisors. Its prime factorisation is × × 67. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54 … 57888.
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How to work it out
- 1
What is special about 57888: a Harshad number: divisible by its digit sum 36.
- 2
57888 is composite. Its prime factorisation is
- 3
The divisors add up to 171360; without 57888 itself that is 113472, so 57888 is abundant (113472 is more than 57888). Euler's totient φ(57888) = 19008 numbers up to 57888 share no factor with it.
- 4
The digits of 57888 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57888 = 2^{5} \times 3^{3} \times 67 \]57888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 171360 |
| Euler totient φ(n) | 19008 |
| Square | 3351020544 |
| Cube | 193983877251072 |
| Square root | 240.599252 (= 12√402) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.7888 × |
57888 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand eight hundred and eighty-eight |
| Binary (base 2) | 1110001000100000 |
| Octal (base 8) | 161040 |
| Hexadecimal (base 16) | E220 |
| Base 3 | 2221102000 |
| As time | 57888 seconds = 16 h 4 min 48 s |
Is 57888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57888 ÷ 2 = 28944) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57888 ÷ 3 = 19296) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57888 ÷ 4 = 14472) | 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 (57888 ÷ 6 = 9648) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (57888 ÷ 8 = 7236) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (57888 ÷ 9 = 6432) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (57888 ÷ 12 = 4824) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57888 a prime number?
No. 57888 = × × 67, so it is divisible by 2.
What are the factors of 57888?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 67, 72, 96, 108, 134, 144, 201, 216, 268, 288, 402, 432, 536, 603, 804, 864, 1072, 1206, 1608, 1809, 2144, 2412, 3216, 3618, 4824, 6432, 7236, 9648, 14472, 19296, 28944, 57888.
What is 57888 in binary?
1110001000100000 (hexadecimal E220, octal 161040).
What is the square root of 57888?
About 240.5993, exactly 12√402.
Is 57888 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 57888?
57888 is a Harshad number: divisible by its digit sum 36.