The number 50388
50388 is a composite number with 48 divisors. Its prime factorisation is × 3 × 13 × 17 × 19. Divisors (48): 1, 2, 3, 4, 6, 12, 13, 17, 19, 26, 34, 38, 39, 51, 52, 57 … 50388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50388 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 50388 itself that is 90732, so 50388 is abundant (90732 is more than 50388). Euler's totient φ(50388) = 13824 numbers up to 50388 share no factor with it.
- 4
The digits of 50388 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50388 = 2^{2} \times 3 \times 13 \times 17 \times 19 \]50388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 13824 |
| Square | 2538950544 |
| Cube | 127932640011072 |
| Square root | 224.472715 (= 2√12597) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0388 × |
50388 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand three hundred and eighty-eight |
| Binary (base 2) | 1100010011010100 |
| Octal (base 8) | 142324 |
| Hexadecimal (base 16) | C4D4 |
| Base 3 | 2120010020 |
| As time | 50388 seconds = 13 h 59 min 48 s |
Is 50388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50388 ÷ 2 = 25194) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50388 ÷ 3 = 16796) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50388 ÷ 4 = 12597) | 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 (50388 ÷ 6 = 8398) | 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 | No (remainder 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50388 ÷ 12 = 4199) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50388 a prime number?
No. 50388 = × 3 × 13 × 17 × 19, so it is divisible by 2.
What are the factors of 50388?
1, 2, 3, 4, 6, 12, 13, 17, 19, 26, 34, 38, 39, 51, 52, 57, 68, 76, 78, 102, 114, 156, 204, 221, 228, 247, 323, 442, 494, 646, 663, 741, 884, 969, 988, 1292, 1326, 1482, 1938, 2652, 2964, 3876, 4199, 8398, 12597, 16796, 25194, 50388.
What is 50388 in binary?
1100010011010100 (hexadecimal C4D4, octal 142324).
What is the square root of 50388?
About 224.4727, exactly 2√12597.
Is 50388 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 50388?
It is a composite number with 48 divisors.