The number 50176
50176 is a perfect square (224²). Its prime factorisation is × . Divisors (33): 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196 … 50176.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50176: a perfect square (224²).
- 2
50176 is composite. Its prime factorisation is
- 3
The divisors add up to 116679; without 50176 itself that is 66503, so 50176 is abundant (66503 is more than 50176). Euler's totient φ(50176) = 21504 numbers up to 50176 share no factor with it.
- 4
The digits of 50176 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50176 = 2^{10} \times 7^{2} \]50176 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 33 |
| Sum of divisors | 116679 |
| Euler totient φ(n) | 21504 |
| Square | 2517630976 |
| Cube | 126324651851776 |
| Square root | 224 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.0176 × |
| Perfect power |
50176 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand one hundred and seventy-six |
| Binary (base 2) | 1100010000000000 |
| Octal (base 8) | 142000 |
| Hexadecimal (base 16) | C400 |
| Base 3 | 2112211101 |
| As time | 50176 seconds = 13 h 56 min 16 s |
Is 50176 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50176 ÷ 2 = 25088) | 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 (50176 ÷ 4 = 12544) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 (50176 ÷ 7 = 7168) | 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 (50176 ÷ 8 = 6272) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 50176 a prime number?
No. 50176 = × , so it is divisible by 2.
What are the factors of 50176?
1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 256, 392, 448, 512, 784, 896, 1024, 1568, 1792, 3136, 3584, 6272, 7168, 12544, 25088, 50176.
What is 50176 in binary?
1100010000000000 (hexadecimal C400, octal 142000).
What is the square root of 50176?
224, because 224 × 224 = 50176.
Is 50176 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 50176?
50176 is a perfect square (224²).