The number 52900
52900 is a perfect square (230²). Its prime factorisation is × × . Divisors (27): 1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 230, 460, 529 … 52900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52900: a perfect square (230²).
- 2
52900 is composite. Its prime factorisation is
- 3
The divisors add up to 120001; without 52900 itself that is 67101, so 52900 is abundant (67101 is more than 52900). Euler's totient φ(52900) = 20240 numbers up to 52900 share no factor with it.
- 4
The digits of 52900 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 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52900 = 2^{2} \times 5^{2} \times 23^{2} \]52900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 27 |
| Sum of divisors | 120001 |
| Euler totient φ(n) | 20240 |
| Square | 2798410000 |
| Cube | 148035889000000 |
| Square root | 230 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.29 × |
| Perfect power |
52900 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand nine hundred |
| Binary (base 2) | 1100111010100100 |
| Octal (base 8) | 147244 |
| Hexadecimal (base 16) | CEA4 |
| Base 3 | 2200120021 |
| As time | 52900 seconds = 14 h 41 min 40 s |
Is 52900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52900 ÷ 2 = 26450) | 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 (52900 ÷ 4 = 13225) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (52900 ÷ 5 = 10580) | 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 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 | No (remainder 4) | 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 | Yes (52900 ÷ 10 = 5290) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52900 a prime number?
No. 52900 = × × , so it is divisible by 2.
What are the factors of 52900?
1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 230, 460, 529, 575, 1058, 1150, 2116, 2300, 2645, 5290, 10580, 13225, 26450, 52900.
What is 52900 in binary?
1100111010100100 (hexadecimal CEA4, octal 147244).
What is the square root of 52900?
230, because 230 × 230 = 52900.
Is 52900 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 52900?
52900 is a perfect square (230²).