The number 52440
52440 is a composite number with 64 divisors. Its prime factorisation is × 3 × 5 × 19 × 23. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 23, 24, 30, 38 … 52440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52440: a Harshad number: divisible by its digit sum 15.
- 2
52440 is composite. Its prime factorisation is
- 3
The divisors add up to 172800; without 52440 itself that is 120360, so 52440 is abundant (120360 is more than 52440). Euler's totient φ(52440) = 12672 numbers up to 52440 share no factor with it.
- 4
The digits of 52440 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52440 = 2^{3} \times 3 \times 5 \times 19 \times 23 \]52440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 172800 |
| Euler totient φ(n) | 12672 |
| Square | 2749953600 |
| Cube | 144207566784000 |
| Square root | 228.997817 (= 2√13110) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.244 × |
52440 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand four hundred and forty |
| Binary (base 2) | 1100110011011000 |
| Octal (base 8) | 146330 |
| Hexadecimal (base 16) | CCD8 |
| Base 3 | 2122221020 |
| As time | 52440 seconds = 14 h 34 min 0 s |
Is 52440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52440 ÷ 2 = 26220) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52440 ÷ 3 = 17480) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52440 ÷ 4 = 13110) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (52440 ÷ 5 = 10488) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (52440 ÷ 6 = 8740) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (52440 ÷ 8 = 6555) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (52440 ÷ 10 = 5244) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (52440 ÷ 12 = 4370) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52440 a prime number?
No. 52440 = × 3 × 5 × 19 × 23, so it is divisible by 2.
What are the factors of 52440?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 23, 24, 30, 38, 40, 46, 57, 60, 69, 76, 92, 95, 114, 115, 120, 138, 152, 184, 190, 228, 230, 276, 285, 345, 380, 437, 456, 460, 552, 570, 690, 760, 874, 920, 1140, 1311, 1380, 1748, 2185, 2280, 2622, 2760, 3496, 4370, 5244, 6555, 8740, 10488, 13110, 17480, 26220, 52440.
What is 52440 in binary?
1100110011011000 (hexadecimal CCD8, octal 146330).
What is the square root of 52440?
About 228.9978, exactly 2√13110.
Is 52440 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 52440?
52440 is a Harshad number: divisible by its digit sum 15.