The number 40392
40392 is a composite number with 64 divisors. Its prime factorisation is × × 11 × 17. Divisors (64): 1, 2, 3, 4, 6, 8, 9, 11, 12, 17, 18, 22, 24, 27, 33, 34 … 40392.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40392: a Harshad number: divisible by its digit sum 18.
- 2
40392 is composite. Its prime factorisation is
- 3
The divisors add up to 129600; without 40392 itself that is 89208, so 40392 is abundant (89208 is more than 40392). Euler's totient φ(40392) = 11520 numbers up to 40392 share no factor with it.
- 4
The digits of 40392 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40392 = 2^{3} \times 3^{3} \times 11 \times 17 \]40392 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 129600 |
| Euler totient φ(n) | 11520 |
| Square | 1631513664 |
| Cube | 65900099916288 |
| Square root | 200.977611 (= 6√1122) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0392 × |
40392 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and ninety-two |
| Binary (base 2) | 1001110111001000 |
| Octal (base 8) | 116710 |
| Hexadecimal (base 16) | 9DC8 |
| Base 3 | 2001102000 |
| As time | 40392 seconds = 11 h 13 min 12 s |
Is 40392 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40392 ÷ 2 = 20196) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40392 ÷ 3 = 13464) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40392 ÷ 4 = 10098) | 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 | Yes (40392 ÷ 6 = 6732) | 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 (40392 ÷ 8 = 5049) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40392 ÷ 9 = 4488) | 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 | Yes (40392 ÷ 11 = 3672) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40392 ÷ 12 = 3366) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40392 a prime number?
No. 40392 = × × 11 × 17, so it is divisible by 2.
What are the factors of 40392?
1, 2, 3, 4, 6, 8, 9, 11, 12, 17, 18, 22, 24, 27, 33, 34, 36, 44, 51, 54, 66, 68, 72, 88, 99, 102, 108, 132, 136, 153, 187, 198, 204, 216, 264, 297, 306, 374, 396, 408, 459, 561, 594, 612, 748, 792, 918, 1122, 1188, 1224, 1496, 1683, 1836, 2244, 2376, 3366, 3672, 4488, 5049, 6732, 10098, 13464, 20196, 40392.
What is 40392 in binary?
1001110111001000 (hexadecimal 9DC8, octal 116710).
What is the square root of 40392?
About 200.9776, exactly 6√1122.
Is 40392 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40392?
40392 is a Harshad number: divisible by its digit sum 18.