The number 40488
40488 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 241. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 … 40488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40488: a Harshad number: divisible by its digit sum 24.
- 2
40488 is composite. Its prime factorisation is
- 3
The divisors add up to 116160; without 40488 itself that is 75672, so 40488 is abundant (75672 is more than 40488). Euler's totient φ(40488) = 11520 numbers up to 40488 share no factor with it.
- 4
The digits of 40488 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40488 = 2^{3} \times 3 \times 7 \times 241 \]40488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 116160 |
| Euler totient φ(n) | 11520 |
| Square | 1639278144 |
| Cube | 66371093494272 |
| Square root | 201.216302 (= 2√10122) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0488 × |
40488 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and eighty-eight |
| Binary (base 2) | 1001111000101000 |
| Octal (base 8) | 117050 |
| Hexadecimal (base 16) | 9E28 |
| Base 3 | 2001112120 |
| As time | 40488 seconds = 11 h 14 min 48 s |
Is 40488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40488 ÷ 2 = 20244) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40488 ÷ 3 = 13496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40488 ÷ 4 = 10122) | 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 (40488 ÷ 6 = 6748) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40488 ÷ 7 = 5784) | 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 (40488 ÷ 8 = 5061) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40488 ÷ 12 = 3374) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40488 a prime number?
No. 40488 = × 3 × 7 × 241, so it is divisible by 2.
What are the factors of 40488?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 241, 482, 723, 964, 1446, 1687, 1928, 2892, 3374, 5061, 5784, 6748, 10122, 13496, 20244, 40488.
What is 40488 in binary?
1001111000101000 (hexadecimal 9E28, octal 117050).
What is the square root of 40488?
About 201.2163, exactly 2√10122.
Is 40488 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 40488?
40488 is a Harshad number: divisible by its digit sum 24.