The number 49432
49432 is a composite number with 16 divisors. Its prime factorisation is × 37 × 167. Divisors (16): 1, 2, 4, 8, 37, 74, 148, 167, 296, 334, 668, 1336, 6179, 12358, 24716, 49432.
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How to work it out
- 1
49432 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49432 is composite. Its prime factorisation is
- 3
The divisors add up to 95760; without 49432 itself that is 46328, so 49432 is deficient (46328 is less than 49432). Euler's totient φ(49432) = 23904 numbers up to 49432 share no factor with it.
- 4
The digits of 49432 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49432 = 2^{3} \times 37 \times 167 \]49432 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 95760 |
| Euler totient φ(n) | 23904 |
| Square | 2443522624 |
| Cube | 120788210349568 |
| Square root | 222.333083 (= 2√12358) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9432 × |
49432 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred and thirty-two |
| Binary (base 2) | 1100000100011000 |
| Octal (base 8) | 140430 |
| Hexadecimal (base 16) | C118 |
| Base 3 | 2111210211 |
| As time | 49432 seconds = 13 h 43 min 52 s |
Is 49432 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49432 ÷ 2 = 24716) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49432 ÷ 4 = 12358) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (49432 ÷ 8 = 6179) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49432 a prime number?
No. 49432 = × 37 × 167, so it is divisible by 2.
What are the factors of 49432?
1, 2, 4, 8, 37, 74, 148, 167, 296, 334, 668, 1336, 6179, 12358, 24716, 49432.
What is 49432 in binary?
1100000100011000 (hexadecimal C118, octal 140430).
What is the square root of 49432?
About 222.3331, exactly 2√12358.
Is 49432 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 49432?
It is a composite number with 16 divisors.