The number 49932
49932 is a composite number with 36 divisors. Its prime factorisation is × × 19 × 73. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 73, 76, 114, 146 … 49932.
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How to work it out
- 1
49932 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49932 is composite. Its prime factorisation is
- 3
The divisors add up to 134680; without 49932 itself that is 84748, so 49932 is abundant (84748 is more than 49932). Euler's totient φ(49932) = 15552 numbers up to 49932 share no factor with it.
- 4
The digits of 49932 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49932 = 2^{2} \times 3^{2} \times 19 \times 73 \]49932 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 134680 |
| Euler totient φ(n) | 15552 |
| Square | 2493204624 |
| Cube | 124490693285568 |
| Square root | 223.454693 (= 6√1387) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9932 × |
49932 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and thirty-two |
| Binary (base 2) | 1100001100001100 |
| Octal (base 8) | 141414 |
| Hexadecimal (base 16) | C30C |
| Base 3 | 2112111100 |
| As time | 49932 seconds = 13 h 52 min 12 s |
Is 49932 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49932 ÷ 2 = 24966) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49932 ÷ 3 = 16644) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49932 ÷ 4 = 12483) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49932 ÷ 6 = 8322) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49932 ÷ 9 = 5548) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (49932 ÷ 12 = 4161) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49932 a prime number?
No. 49932 = × × 19 × 73, so it is divisible by 2.
What are the factors of 49932?
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 73, 76, 114, 146, 171, 219, 228, 292, 342, 438, 657, 684, 876, 1314, 1387, 2628, 2774, 4161, 5548, 8322, 12483, 16644, 24966, 49932.
What is 49932 in binary?
1100001100001100 (hexadecimal C30C, octal 141414).
What is the square root of 49932?
About 223.4547, exactly 6√1387.
Is 49932 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49932?
It is a composite number with 36 divisors.