The number 49368
49368 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 17. Divisors (48): 1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66 … 49368.
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How to work it out
- 1
49368 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49368 is composite. Its prime factorisation is
- 3
The divisors add up to 143640; without 49368 itself that is 94272, so 49368 is abundant (94272 is more than 49368). Euler's totient φ(49368) = 14080 numbers up to 49368 share no factor with it.
- 4
The digits of 49368 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 264 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49368 = 2^{3} \times 3 \times 11^{2} \times 17 \]49368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 143640 |
| Euler totient φ(n) | 14080 |
| Square | 2437199424 |
| Cube | 120319661164032 |
| Square root | 222.189109 (= 22√102) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 264 |
| Scientific notation | 4.9368 × |
49368 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred and sixty-eight |
| Binary (base 2) | 1100000011011000 |
| Octal (base 8) | 140330 |
| Hexadecimal (base 16) | C0D8 |
| Base 3 | 2111201110 |
| As time | 49368 seconds = 13 h 42 min 48 s |
Is 49368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49368 ÷ 2 = 24684) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49368 ÷ 3 = 16456) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49368 ÷ 4 = 12342) | 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 (49368 ÷ 6 = 8228) | 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 (49368 ÷ 8 = 6171) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 (49368 ÷ 11 = 4488) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49368 ÷ 12 = 4114) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49368 a prime number?
No. 49368 = × 3 × × 17, so it is divisible by 2.
What are the factors of 49368?
1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 121, 132, 136, 187, 204, 242, 264, 363, 374, 408, 484, 561, 726, 748, 968, 1122, 1452, 1496, 2057, 2244, 2904, 4114, 4488, 6171, 8228, 12342, 16456, 24684, 49368.
What is 49368 in binary?
1100000011011000 (hexadecimal C0D8, octal 140330).
What is the square root of 49368?
About 222.1891, exactly 22√102.
Is 49368 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 49368?
It is a composite number with 48 divisors.