The number 52488
52488 is a composite number with 36 divisors. Its prime factorisation is × . Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108 … 52488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52488: a Harshad number: divisible by its digit sum 27.
- 2
52488 is composite. Its prime factorisation is
- 3
The divisors add up to 147615; without 52488 itself that is 95127, so 52488 is abundant (95127 is more than 52488). Euler's totient φ(52488) = 17496 numbers up to 52488 share no factor with it.
- 4
The digits of 52488 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52488 = 2^{3} \times 3^{8} \]52488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 147615 |
| Euler totient φ(n) | 17496 |
| Square | 2754990144 |
| Cube | 144603922678272 |
| Square root | 229.102597 (= 162√2) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.2488 × |
52488 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand four hundred and eighty-eight |
| Binary (base 2) | 1100110100001000 |
| Octal (base 8) | 146410 |
| Hexadecimal (base 16) | CD08 |
| Base 3 | 2200000000 |
| As time | 52488 seconds = 14 h 34 min 48 s |
Is 52488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52488 ÷ 2 = 26244) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52488 ÷ 3 = 17496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52488 ÷ 4 = 13122) | 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 (52488 ÷ 6 = 8748) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (52488 ÷ 8 = 6561) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (52488 ÷ 9 = 5832) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (52488 ÷ 12 = 4374) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52488 a prime number?
No. 52488 = × , so it is divisible by 2.
What are the factors of 52488?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 729, 972, 1458, 1944, 2187, 2916, 4374, 5832, 6561, 8748, 13122, 17496, 26244, 52488.
What is 52488 in binary?
1100110100001000 (hexadecimal CD08, octal 146410).
What is the square root of 52488?
About 229.1026, exactly 162√2.
Is 52488 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 52488?
52488 is a Harshad number: divisible by its digit sum 27.