The number 52432
52432 is a composite number with 20 divisors. Its prime factorisation is × 29 × 113. Divisors (20): 1, 2, 4, 8, 16, 29, 58, 113, 116, 226, 232, 452, 464, 904, 1808, 3277 … 52432.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52432: a Harshad number: divisible by its digit sum 16.
- 2
52432 is composite. Its prime factorisation is
- 3
The divisors add up to 106020; without 52432 itself that is 53588, so 52432 is abundant (53588 is more than 52432). Euler's totient φ(52432) = 25088 numbers up to 52432 share no factor with it.
- 4
The digits of 52432 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52432 = 2^{4} \times 29 \times 113 \]52432 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 106020 |
| Euler totient φ(n) | 25088 |
| Square | 2749114624 |
| Cube | 144141577965568 |
| Square root | 228.980349 (= 4√3277) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.2432 × |
52432 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand four hundred and thirty-two |
| Binary (base 2) | 1100110011010000 |
| Octal (base 8) | 146320 |
| Hexadecimal (base 16) | CCD0 |
| Base 3 | 2122220221 |
| As time | 52432 seconds = 14 h 33 min 52 s |
Is 52432 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52432 ÷ 2 = 26216) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52432 ÷ 4 = 13108) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (52432 ÷ 8 = 6554) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52432 a prime number?
No. 52432 = × 29 × 113, so it is divisible by 2.
What are the factors of 52432?
1, 2, 4, 8, 16, 29, 58, 113, 116, 226, 232, 452, 464, 904, 1808, 3277, 6554, 13108, 26216, 52432.
What is 52432 in binary?
1100110011010000 (hexadecimal CCD0, octal 146320).
What is the square root of 52432?
About 228.9803, exactly 4√3277.
Is 52432 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 52432?
52432 is a Harshad number: divisible by its digit sum 16.