The number 50112
50112 is a composite number with 56 divisors. Its prime factorisation is × × 29. Divisors (56): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 29, 32, 36, 48 … 50112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50112: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
50112 is composite. Its prime factorisation is
- 3
The divisors add up to 152400; without 50112 itself that is 102288, so 50112 is abundant (102288 is more than 50112). Euler's totient φ(50112) = 16128 numbers up to 50112 share no factor with it.
- 4
The digits of 50112 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50112 = 2^{6} \times 3^{3} \times 29 \]50112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 152400 |
| Euler totient φ(n) | 16128 |
| Square | 2511212544 |
| Cube | 125841883004928 |
| Square root | 223.857097 (= 24√87) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.0112 × |
50112 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand one hundred and twelve |
| Binary (base 2) | 1100001111000000 |
| Octal (base 8) | 141700 |
| Hexadecimal (base 16) | C3C0 |
| Base 3 | 2112202000 |
| As time | 50112 seconds = 13 h 55 min 12 s |
Is 50112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50112 ÷ 2 = 25056) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50112 ÷ 3 = 16704) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50112 ÷ 4 = 12528) | 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 (50112 ÷ 6 = 8352) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (50112 ÷ 8 = 6264) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50112 ÷ 9 = 5568) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50112 ÷ 12 = 4176) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50112 a prime number?
No. 50112 = × × 29, so it is divisible by 2.
What are the factors of 50112?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 29, 32, 36, 48, 54, 58, 64, 72, 87, 96, 108, 116, 144, 174, 192, 216, 232, 261, 288, 348, 432, 464, 522, 576, 696, 783, 864, 928, 1044, 1392, 1566, 1728, 1856, 2088, 2784, 3132, 4176, 5568, 6264, 8352, 12528, 16704, 25056, 50112.
What is 50112 in binary?
1100001111000000 (hexadecimal C3C0, octal 141700).
What is the square root of 50112?
About 223.8571, exactly 24√87.
Is 50112 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 50112?
50112 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.