The number 50784
50784 is a composite number with 36 divisors. Its prime factorisation is × 3 × . Divisors (36): 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96 … 50784.
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How to work it out
- 1
What is special about 50784: a Harshad number: divisible by its digit sum 24.
- 2
50784 is composite. Its prime factorisation is
- 3
The divisors add up to 139356; without 50784 itself that is 88572, so 50784 is abundant (88572 is more than 50784). Euler's totient φ(50784) = 16192 numbers up to 50784 share no factor with it.
- 4
The digits of 50784 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50784 = 2^{5} \times 3 \times 23^{2} \]50784 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 139356 |
| Euler totient φ(n) | 16192 |
| Square | 2579014656 |
| Cube | 130972680290304 |
| Square root | 225.353056 (= 92√6) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.0784 × |
50784 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand seven hundred and eighty-four |
| Binary (base 2) | 1100011001100000 |
| Octal (base 8) | 143140 |
| Hexadecimal (base 16) | C660 |
| Base 3 | 2120122220 |
| As time | 50784 seconds = 14 h 6 min 24 s |
Is 50784 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50784 ÷ 2 = 25392) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50784 ÷ 3 = 16928) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50784 ÷ 4 = 12696) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50784 ÷ 6 = 8464) | 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 (50784 ÷ 8 = 6348) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50784 ÷ 12 = 4232) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50784 a prime number?
No. 50784 = × 3 × , so it is divisible by 2.
What are the factors of 50784?
1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 529, 552, 736, 1058, 1104, 1587, 2116, 2208, 3174, 4232, 6348, 8464, 12696, 16928, 25392, 50784.
What is 50784 in binary?
1100011001100000 (hexadecimal C660, octal 143140).
What is the square root of 50784?
About 225.3531, exactly 92√6.
Is 50784 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 50784?
50784 is a Harshad number: divisible by its digit sum 24.