The number 50688
50688 is a composite number with 60 divisors. Its prime factorisation is × × 11. Divisors (60): 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36 … 50688.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50688 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50688 is composite. Its prime factorisation is
- 3
The divisors add up to 159588; without 50688 itself that is 108900, so 50688 is abundant (108900 is more than 50688). Euler's totient φ(50688) = 15360 numbers up to 50688 share no factor with it.
- 4
The digits of 50688 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50688 = 2^{9} \times 3^{2} \times 11 \]50688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 159588 |
| Euler totient φ(n) | 15360 |
| Square | 2569273344 |
| Cube | 130231327260672 |
| Square root | 225.139956 (= 48√22) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.0688 × |
50688 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand six hundred and eighty-eight |
| Binary (base 2) | 1100011000000000 |
| Octal (base 8) | 143000 |
| Hexadecimal (base 16) | C600 |
| Base 3 | 2120112100 |
| As time | 50688 seconds = 14 h 4 min 48 s |
Is 50688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50688 ÷ 2 = 25344) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50688 ÷ 3 = 16896) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50688 ÷ 4 = 12672) | 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 (50688 ÷ 6 = 8448) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (50688 ÷ 8 = 6336) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50688 ÷ 9 = 5632) | 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 | Yes (50688 ÷ 11 = 4608) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50688 ÷ 12 = 4224) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50688 a prime number?
No. 50688 = × × 11, so it is divisible by 2.
What are the factors of 50688?
1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 128, 132, 144, 176, 192, 198, 256, 264, 288, 352, 384, 396, 512, 528, 576, 704, 768, 792, 1056, 1152, 1408, 1536, 1584, 2112, 2304, 2816, 3168, 4224, 4608, 5632, 6336, 8448, 12672, 16896, 25344, 50688.
What is 50688 in binary?
1100011000000000 (hexadecimal C600, octal 143000).
What is the square root of 50688?
About 225.1400, exactly 48√22.
Is 50688 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 50688?
It is a composite number with 60 divisors.