The number 50416
50416 is a composite number with 20 divisors. Its prime factorisation is × 23 × 137. Divisors (20): 1, 2, 4, 8, 16, 23, 46, 92, 137, 184, 274, 368, 548, 1096, 2192, 3151 … 50416.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50416: a Harshad number: divisible by its digit sum 16.
- 2
50416 is composite. Its prime factorisation is
- 3
The divisors add up to 102672; without 50416 itself that is 52256, so 50416 is abundant (52256 is more than 50416). Euler's totient φ(50416) = 23936 numbers up to 50416 share no factor with it.
- 4
The digits of 50416 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50416 = 2^{4} \times 23 \times 137 \]50416 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 102672 |
| Euler totient φ(n) | 23936 |
| Square | 2541773056 |
| Cube | 128146030391296 |
| Square root | 224.535075 (= 4√3151) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0416 × |
50416 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand four hundred and sixteen |
| Binary (base 2) | 1100010011110000 |
| Octal (base 8) | 142360 |
| Hexadecimal (base 16) | C4F0 |
| Base 3 | 2120011021 |
| As time | 50416 seconds = 14 h 0 min 16 s |
Is 50416 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50416 ÷ 2 = 25208) | 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 (50416 ÷ 4 = 12604) | 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 | No (remainder 2) | 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 (50416 ÷ 8 = 6302) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 3) | 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 50416 a prime number?
No. 50416 = × 23 × 137, so it is divisible by 2.
What are the factors of 50416?
1, 2, 4, 8, 16, 23, 46, 92, 137, 184, 274, 368, 548, 1096, 2192, 3151, 6302, 12604, 25208, 50416.
What is 50416 in binary?
1100010011110000 (hexadecimal C4F0, octal 142360).
What is the square root of 50416?
About 224.5351, exactly 4√3151.
Is 50416 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 50416?
50416 is a Harshad number: divisible by its digit sum 16.