The number 50512
50512 is a composite number with 40 divisors. Its prime factorisation is × 7 × 11 × 41. Divisors (40): 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 41, 44, 56, 77, 82, 88 … 50512.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50512 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50512 is composite. Its prime factorisation is
- 3
The divisors add up to 124992; without 50512 itself that is 74480, so 50512 is abundant (74480 is more than 50512). Euler's totient φ(50512) = 19200 numbers up to 50512 share no factor with it.
- 4
The digits of 50512 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50512 = 2^{4} \times 7 \times 11 \times 41 \]50512 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 124992 |
| Euler totient φ(n) | 19200 |
| Square | 2551462144 |
| Cube | 128879455817728 |
| Square root | 224.748749 (= 4√3157) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.0512 × |
50512 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand five hundred and twelve |
| Binary (base 2) | 1100010101010000 |
| Octal (base 8) | 142520 |
| Hexadecimal (base 16) | C550 |
| Base 3 | 2120021211 |
| As time | 50512 seconds = 14 h 1 min 52 s |
Is 50512 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50512 ÷ 2 = 25256) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50512 ÷ 4 = 12628) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (50512 ÷ 7 = 7216) | 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 (50512 ÷ 8 = 6314) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (50512 ÷ 11 = 4592) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50512 a prime number?
No. 50512 = × 7 × 11 × 41, so it is divisible by 2.
What are the factors of 50512?
1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 41, 44, 56, 77, 82, 88, 112, 154, 164, 176, 287, 308, 328, 451, 574, 616, 656, 902, 1148, 1232, 1804, 2296, 3157, 3608, 4592, 6314, 7216, 12628, 25256, 50512.
What is 50512 in binary?
1100010101010000 (hexadecimal C550, octal 142520).
What is the square root of 50512?
About 224.7487, exactly 4√3157.
Is 50512 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 50512?
It is a composite number with 40 divisors.