The number 50328
50328 is a composite number with 32 divisors. Its prime factorisation is × × 233. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216 … 50328.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50328: a Harshad number: divisible by its digit sum 18.
- 2
50328 is composite. Its prime factorisation is
- 3
The divisors add up to 140400; without 50328 itself that is 90072, so 50328 is abundant (90072 is more than 50328). Euler's totient φ(50328) = 16704 numbers up to 50328 share no factor with it.
- 4
The digits of 50328 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50328 = 2^{3} \times 3^{3} \times 233 \]50328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 140400 |
| Euler totient φ(n) | 16704 |
| Square | 2532907584 |
| Cube | 127476172887552 |
| Square root | 224.339029 (= 6√1398) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0328 × |
50328 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand three hundred and twenty-eight |
| Binary (base 2) | 1100010010011000 |
| Octal (base 8) | 142230 |
| Hexadecimal (base 16) | C498 |
| Base 3 | 2120001000 |
| As time | 50328 seconds = 13 h 58 min 48 s |
Is 50328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50328 ÷ 2 = 25164) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50328 ÷ 3 = 16776) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50328 ÷ 4 = 12582) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50328 ÷ 6 = 8388) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (50328 ÷ 8 = 6291) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50328 ÷ 9 = 5592) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50328 ÷ 12 = 4194) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50328 a prime number?
No. 50328 = × × 233, so it is divisible by 2.
What are the factors of 50328?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 233, 466, 699, 932, 1398, 1864, 2097, 2796, 4194, 5592, 6291, 8388, 12582, 16776, 25164, 50328.
What is 50328 in binary?
1100010010011000 (hexadecimal C498, octal 142230).
What is the square root of 50328?
About 224.3390, exactly 6√1398.
Is 50328 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50328?
50328 is a Harshad number: divisible by its digit sum 18.