The number 50768
50768 is a composite number with 20 divisors. Its prime factorisation is × 19 × 167. Divisors (20): 1, 2, 4, 8, 16, 19, 38, 76, 152, 167, 304, 334, 668, 1336, 2672, 3173 … 50768.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50768 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50768 is composite. Its prime factorisation is
- 3
The divisors add up to 104160; without 50768 itself that is 53392, so 50768 is abundant (53392 is more than 50768). Euler's totient φ(50768) = 23904 numbers up to 50768 share no factor with it.
- 4
The digits of 50768 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50768 = 2^{4} \times 19 \times 167 \]50768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 104160 |
| Euler totient φ(n) | 23904 |
| Square | 2577389824 |
| Cube | 130848926584832 |
| Square root | 225.317554 (= 4√3173) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.0768 × |
50768 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand seven hundred and sixty-eight |
| Binary (base 2) | 1100011001010000 |
| Octal (base 8) | 143120 |
| Hexadecimal (base 16) | C650 |
| Base 3 | 2120122022 |
| As time | 50768 seconds = 14 h 6 min 8 s |
Is 50768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50768 ÷ 2 = 25384) | 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 (50768 ÷ 4 = 12692) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (50768 ÷ 8 = 6346) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | No (remainder 3) | 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 50768 a prime number?
No. 50768 = × 19 × 167, so it is divisible by 2.
What are the factors of 50768?
1, 2, 4, 8, 16, 19, 38, 76, 152, 167, 304, 334, 668, 1336, 2672, 3173, 6346, 12692, 25384, 50768.
What is 50768 in binary?
1100011001010000 (hexadecimal C650, octal 143120).
What is the square root of 50768?
About 225.3176, exactly 4√3173.
Is 50768 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 50768?
It is a composite number with 20 divisors.