The number 40512
40512 is a composite number with 28 divisors. Its prime factorisation is × 3 × 211. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 211, 422 … 40512.
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How to work it out
- 1
What is special about 40512: a Harshad number: divisible by its digit sum 12.
- 2
40512 is composite. Its prime factorisation is
- 3
The divisors add up to 107696; without 40512 itself that is 67184, so 40512 is abundant (67184 is more than 40512). Euler's totient φ(40512) = 13440 numbers up to 40512 share no factor with it.
- 4
The digits of 40512 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40512 = 2^{6} \times 3 \times 211 \]40512 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 107696 |
| Euler totient φ(n) | 13440 |
| Square | 1641222144 |
| Cube | 66489191497728 |
| Square root | 201.275930 (= 8√633) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0512 × |
40512 in other forms
| Form | Value |
|---|---|
| In words | forty thousand five hundred and twelve |
| Binary (base 2) | 1001111001000000 |
| Octal (base 8) | 117100 |
| Hexadecimal (base 16) | 9E40 |
| Base 3 | 2001120110 |
| As time | 40512 seconds = 11 h 15 min 12 s |
Is 40512 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40512 ÷ 2 = 20256) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40512 ÷ 3 = 13504) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40512 ÷ 4 = 10128) | 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 (40512 ÷ 6 = 6752) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (40512 ÷ 8 = 5064) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40512 ÷ 12 = 3376) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40512 a prime number?
No. 40512 = × 3 × 211, so it is divisible by 2.
What are the factors of 40512?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 211, 422, 633, 844, 1266, 1688, 2532, 3376, 5064, 6752, 10128, 13504, 20256, 40512.
What is 40512 in binary?
1001111001000000 (hexadecimal 9E40, octal 117100).
What is the square root of 40512?
About 201.2759, exactly 8√633.
Is 40512 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 40512?
40512 is a Harshad number: divisible by its digit sum 12.