The number 50424
50424 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 191. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 191 … 50424.
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How to work it out
- 1
50424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50424 is composite. Its prime factorisation is
- 3
The divisors add up to 138240; without 50424 itself that is 87816, so 50424 is abundant (87816 is more than 50424). Euler's totient φ(50424) = 15200 numbers up to 50424 share no factor with it.
- 4
The digits of 50424 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50424 = 2^{3} \times 3 \times 11 \times 191 \]50424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 138240 |
| Euler totient φ(n) | 15200 |
| Square | 2542579776 |
| Cube | 128207042625024 |
| Square root | 224.552889 (= 2√12606) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 158 |
| Scientific notation | 5.0424 × |
50424 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand four hundred and twenty-four |
| Binary (base 2) | 1100010011111000 |
| Octal (base 8) | 142370 |
| Hexadecimal (base 16) | C4F8 |
| Base 3 | 2120011120 |
| As time | 50424 seconds = 14 h 0 min 24 s |
Is 50424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50424 ÷ 2 = 25212) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50424 ÷ 3 = 16808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50424 ÷ 4 = 12606) | 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 (50424 ÷ 6 = 8404) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (50424 ÷ 8 = 6303) | 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 | Yes (50424 ÷ 11 = 4584) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50424 ÷ 12 = 4202) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50424 a prime number?
No. 50424 = × 3 × 11 × 191, so it is divisible by 2.
What are the factors of 50424?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 191, 264, 382, 573, 764, 1146, 1528, 2101, 2292, 4202, 4584, 6303, 8404, 12606, 16808, 25212, 50424.
What is 50424 in binary?
1100010011111000 (hexadecimal C4F8, octal 142370).
What is the square root of 50424?
About 224.5529, exactly 2√12606.
Is 50424 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 50424?
It is a composite number with 32 divisors.