The number 50816
50816 is a composite number with 16 divisors. Its prime factorisation is × 397. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 397, 794, 1588, 3176, 6352, 12704, 25408, 50816.
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How to work it out
- 1
50816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50816 is composite. Its prime factorisation is
- 3
The divisors add up to 101490; without 50816 itself that is 50674, so 50816 is deficient (50674 is less than 50816). Euler's totient φ(50816) = 25344 numbers up to 50816 share no factor with it.
- 4
The digits of 50816 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50816 = 2^{7} \times 397 \]50816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 101490 |
| Euler totient φ(n) | 25344 |
| Square | 2582265856 |
| Cube | 131220421738496 |
| Square root | 225.424045 (= 8√794) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.0816 × |
50816 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand eight hundred and sixteen |
| Binary (base 2) | 1100011010000000 |
| Octal (base 8) | 143200 |
| Hexadecimal (base 16) | C680 |
| Base 3 | 2120201002 |
| As time | 50816 seconds = 14 h 6 min 56 s |
Is 50816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50816 ÷ 2 = 25408) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50816 ÷ 4 = 12704) | 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 2) | 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 (50816 ÷ 8 = 6352) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50816 a prime number?
No. 50816 = × 397, so it is divisible by 2.
What are the factors of 50816?
1, 2, 4, 8, 16, 32, 64, 128, 397, 794, 1588, 3176, 6352, 12704, 25408, 50816.
What is 50816 in binary?
1100011010000000 (hexadecimal C680, octal 143200).
What is the square root of 50816?
About 225.4240, exactly 8√794.
Is 50816 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 50816?
It is a composite number with 16 divisors.