The number 50352
50352 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1049. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1049, 2098, 3147, 4196, 6294, 8392 … 50352.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50352 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50352 is composite. Its prime factorisation is
- 3
The divisors add up to 130200; without 50352 itself that is 79848, so 50352 is abundant (79848 is more than 50352). Euler's totient φ(50352) = 16768 numbers up to 50352 share no factor with it.
- 4
The digits of 50352 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50352 = 2^{4} \times 3 \times 1049 \]50352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 130200 |
| Euler totient φ(n) | 16768 |
| Square | 2535323904 |
| Cube | 127658629214208 |
| Square root | 224.392513 (= 4√3147) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.0352 × |
50352 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand three hundred and fifty-two |
| Binary (base 2) | 1100010010110000 |
| Octal (base 8) | 142260 |
| Hexadecimal (base 16) | C4B0 |
| Base 3 | 2120001220 |
| As time | 50352 seconds = 13 h 59 min 12 s |
Is 50352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50352 ÷ 2 = 25176) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50352 ÷ 3 = 16784) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50352 ÷ 4 = 12588) | 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 (50352 ÷ 6 = 8392) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (50352 ÷ 8 = 6294) | 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 2) | 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 | Yes (50352 ÷ 12 = 4196) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50352 a prime number?
No. 50352 = × 3 × 1049, so it is divisible by 2.
What are the factors of 50352?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1049, 2098, 3147, 4196, 6294, 8392, 12588, 16784, 25176, 50352.
What is 50352 in binary?
1100010010110000 (hexadecimal C4B0, octal 142260).
What is the square root of 50352?
About 224.3925, exactly 4√3147.
Is 50352 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 50352?
It is a composite number with 20 divisors.