The number 40352
40352 is a composite number with 24 divisors. Its prime factorisation is × 13 × 97. Divisors (24): 1, 2, 4, 8, 13, 16, 26, 32, 52, 97, 104, 194, 208, 388, 416, 776 … 40352.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40352 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40352 is composite. Its prime factorisation is
- 3
The divisors add up to 86436; without 40352 itself that is 46084, so 40352 is abundant (46084 is more than 40352). Euler's totient φ(40352) = 18432 numbers up to 40352 share no factor with it.
- 4
The digits of 40352 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40352 = 2^{5} \times 13 \times 97 \]40352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 86436 |
| Euler totient φ(n) | 18432 |
| Square | 1628283904 |
| Cube | 65704512094208 |
| Square root | 200.878072 (= 4√2522) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0352 × |
40352 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and fifty-two |
| Binary (base 2) | 1001110110100000 |
| Octal (base 8) | 116640 |
| Hexadecimal (base 16) | 9DA0 |
| Base 3 | 2001100112 |
| As time | 40352 seconds = 11 h 12 min 32 s |
Is 40352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40352 ÷ 2 = 20176) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40352 ÷ 4 = 10088) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (40352 ÷ 8 = 5044) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40352 a prime number?
No. 40352 = × 13 × 97, so it is divisible by 2.
What are the factors of 40352?
1, 2, 4, 8, 13, 16, 26, 32, 52, 97, 104, 194, 208, 388, 416, 776, 1261, 1552, 2522, 3104, 5044, 10088, 20176, 40352.
What is 40352 in binary?
1001110110100000 (hexadecimal 9DA0, octal 116640).
What is the square root of 40352?
About 200.8781, exactly 4√2522.
Is 40352 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 40352?
It is a composite number with 24 divisors.