The number 50616
50616 is a composite number with 48 divisors. Its prime factorisation is × × 19 × 37. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 37, 38, 57, 72 … 50616.
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How to work it out
- 1
What is special about 50616: a Harshad number: divisible by its digit sum 18.
- 2
50616 is composite. Its prime factorisation is
- 3
The divisors add up to 148200; without 50616 itself that is 97584, so 50616 is abundant (97584 is more than 50616). Euler's totient φ(50616) = 15552 numbers up to 50616 share no factor with it.
- 4
The digits of 50616 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50616 = 2^{3} \times 3^{2} \times 19 \times 37 \]50616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 148200 |
| Euler totient φ(n) | 15552 |
| Square | 2561979456 |
| Cube | 129677152144896 |
| Square root | 224.979999 (= 6√1406) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 5.0616 × |
50616 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand six hundred and sixteen |
| Binary (base 2) | 1100010110111000 |
| Octal (base 8) | 142670 |
| Hexadecimal (base 16) | C5B8 |
| Base 3 | 2120102200 |
| As time | 50616 seconds = 14 h 3 min 36 s |
Is 50616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50616 ÷ 2 = 25308) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50616 ÷ 3 = 16872) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50616 ÷ 4 = 12654) | 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 | Yes (50616 ÷ 6 = 8436) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (50616 ÷ 8 = 6327) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50616 ÷ 9 = 5624) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50616 ÷ 12 = 4218) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50616 a prime number?
No. 50616 = × × 19 × 37, so it is divisible by 2.
What are the factors of 50616?
1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 37, 38, 57, 72, 74, 76, 111, 114, 148, 152, 171, 222, 228, 296, 333, 342, 444, 456, 666, 684, 703, 888, 1332, 1368, 1406, 2109, 2664, 2812, 4218, 5624, 6327, 8436, 12654, 16872, 25308, 50616.
What is 50616 in binary?
1100010110111000 (hexadecimal C5B8, octal 142670).
What is the square root of 50616?
About 224.9800, exactly 6√1406.
Is 50616 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50616?
50616 is a Harshad number: divisible by its digit sum 18.