The number 25488
25488 is a composite number with 40 divisors. Its prime factorisation is × × 59. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 59 … 25488.
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How to work it out
- 1
What is special about 25488: a Harshad number: divisible by its digit sum 27.
- 2
25488 is composite. Its prime factorisation is
- 3
The divisors add up to 74400; without 25488 itself that is 48912, so 25488 is abundant (48912 is more than 25488). Euler's totient φ(25488) = 8352 numbers up to 25488 share no factor with it.
- 4
The digits of 25488 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 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25488 = 2^{4} \times 3^{3} \times 59 \]25488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 74400 |
| Euler totient φ(n) | 8352 |
| Square | 649638144 |
| Cube | 16557977014272 |
| Square root | 159.649616 (= 12√177) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.5488 × |
25488 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand four hundred and eighty-eight |
| Binary (base 2) | 110001110010000 |
| Octal (base 8) | 61620 |
| Hexadecimal (base 16) | 6390 |
| Base 3 | 1021222000 |
| As time | 25488 seconds = 7 h 4 min 48 s |
Is 25488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25488 ÷ 2 = 12744) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25488 ÷ 3 = 8496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (25488 ÷ 4 = 6372) | 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 (25488 ÷ 6 = 4248) | 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 (25488 ÷ 8 = 3186) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (25488 ÷ 9 = 2832) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (25488 ÷ 12 = 2124) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25488 a prime number?
No. 25488 = × × 59, so it is divisible by 2.
What are the factors of 25488?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 59, 72, 108, 118, 144, 177, 216, 236, 354, 432, 472, 531, 708, 944, 1062, 1416, 1593, 2124, 2832, 3186, 4248, 6372, 8496, 12744, 25488.
What is 25488 in binary?
110001110010000 (hexadecimal 6390, octal 61620).
What is the square root of 25488?
About 159.6496, exactly 12√177.
Is 25488 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 25488?
25488 is a Harshad number: divisible by its digit sum 27.