The number 49232
49232 is a composite number with 20 divisors. Its prime factorisation is × 17 × 181. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 136, 181, 272, 362, 724, 1448, 2896, 3077 … 49232.
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How to work it out
- 1
49232 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49232 is composite. Its prime factorisation is
- 3
The divisors add up to 101556; without 49232 itself that is 52324, so 49232 is abundant (52324 is more than 49232). Euler's totient φ(49232) = 23040 numbers up to 49232 share no factor with it.
- 4
The digits of 49232 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49232 = 2^{4} \times 17 \times 181 \]49232 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 101556 |
| Euler totient φ(n) | 23040 |
| Square | 2423789824 |
| Cube | 119328020615168 |
| Square root | 221.882852 (= 4√3077) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9232 × |
49232 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand two hundred and thirty-two |
| Binary (base 2) | 1100000001010000 |
| Octal (base 8) | 140120 |
| Hexadecimal (base 16) | C050 |
| Base 3 | 2111112102 |
| As time | 49232 seconds = 13 h 40 min 32 s |
Is 49232 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49232 ÷ 2 = 24616) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49232 ÷ 4 = 12308) | 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 2) | 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 | Yes (49232 ÷ 8 = 6154) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49232 a prime number?
No. 49232 = × 17 × 181, so it is divisible by 2.
What are the factors of 49232?
1, 2, 4, 8, 16, 17, 34, 68, 136, 181, 272, 362, 724, 1448, 2896, 3077, 6154, 12308, 24616, 49232.
What is 49232 in binary?
1100000001010000 (hexadecimal C050, octal 140120).
What is the square root of 49232?
About 221.8829, exactly 4√3077.
Is 49232 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 49232?
It is a composite number with 20 divisors.