The number 40496
40496 is a composite number with 10 divisors. Its prime factorisation is × 2531. Divisors (10): 1, 2, 4, 8, 16, 2531, 5062, 10124, 20248, 40496.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40496 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40496 is composite. Its prime factorisation is
- 3
The divisors add up to 78492; without 40496 itself that is 37996, so 40496 is deficient (37996 is less than 40496). Euler's totient φ(40496) = 20240 numbers up to 40496 share no factor with it.
- 4
The digits of 40496 add up to 23, 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
\[ 40496 = 2^{4} \times 2531 \]40496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 78492 |
| Euler totient φ(n) | 20240 |
| Square | 1639926016 |
| Cube | 66410443943936 |
| Square root | 201.236180 (= 4√2531) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0496 × |
40496 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and ninety-six |
| Binary (base 2) | 1001111000110000 |
| Octal (base 8) | 117060 |
| Hexadecimal (base 16) | 9E30 |
| Base 3 | 2001112212 |
| As time | 40496 seconds = 11 h 14 min 56 s |
Is 40496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40496 ÷ 2 = 20248) | 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 (40496 ÷ 4 = 10124) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 | Yes (40496 ÷ 8 = 5062) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 40496 a prime number?
No. 40496 = × 2531, so it is divisible by 2.
What are the factors of 40496?
1, 2, 4, 8, 16, 2531, 5062, 10124, 20248, 40496.
What is 40496 in binary?
1001111000110000 (hexadecimal 9E30, octal 117060).
What is the square root of 40496?
About 201.2362, exactly 4√2531.
Is 40496 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 40496?
It is a composite number with 10 divisors.