The number 40608
40608 is a composite number with 48 divisors. Its prime factorisation is × × 47. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 47, 48 … 40608.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40608: a Harshad number: divisible by its digit sum 18.
- 2
40608 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 40608 itself that is 80352, so 40608 is abundant (80352 is more than 40608). Euler's totient φ(40608) = 13248 numbers up to 40608 share no factor with it.
- 4
The digits of 40608 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40608 = 2^{5} \times 3^{3} \times 47 \]40608 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 13248 |
| Square | 1649009664 |
| Cube | 66962984435712 |
| Square root | 201.514267 (= 12√282) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0608 × |
40608 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and eight |
| Binary (base 2) | 1001111010100000 |
| Octal (base 8) | 117240 |
| Hexadecimal (base 16) | 9EA0 |
| Base 3 | 2001201000 |
| As time | 40608 seconds = 11 h 16 min 48 s |
Is 40608 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40608 ÷ 2 = 20304) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40608 ÷ 3 = 13536) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40608 ÷ 4 = 10152) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40608 ÷ 6 = 6768) | 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 (40608 ÷ 8 = 5076) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40608 ÷ 9 = 4512) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40608 ÷ 12 = 3384) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40608 a prime number?
No. 40608 = × × 47, so it is divisible by 2.
What are the factors of 40608?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 47, 48, 54, 72, 94, 96, 108, 141, 144, 188, 216, 282, 288, 376, 423, 432, 564, 752, 846, 864, 1128, 1269, 1504, 1692, 2256, 2538, 3384, 4512, 5076, 6768, 10152, 13536, 20304, 40608.
What is 40608 in binary?
1001111010100000 (hexadecimal 9EA0, octal 117240).
What is the square root of 40608?
About 201.5143, exactly 12√282.
Is 40608 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40608?
40608 is a Harshad number: divisible by its digit sum 18.