The number 49312
49312 is a composite number with 24 divisors. Its prime factorisation is × 23 × 67. Divisors (24): 1, 2, 4, 8, 16, 23, 32, 46, 67, 92, 134, 184, 268, 368, 536, 736 … 49312.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49312 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49312 is composite. Its prime factorisation is
- 3
The divisors add up to 102816; without 49312 itself that is 53504, so 49312 is abundant (53504 is more than 49312). Euler's totient φ(49312) = 23232 numbers up to 49312 share no factor with it.
- 4
The digits of 49312 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49312 = 2^{5} \times 23 \times 67 \]49312 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 102816 |
| Euler totient φ(n) | 23232 |
| Square | 2431673344 |
| Cube | 119910675939328 |
| Square root | 222.063054 (= 4√3082) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9312 × |
49312 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred and twelve |
| Binary (base 2) | 1100000010100000 |
| Octal (base 8) | 140240 |
| Hexadecimal (base 16) | C0A0 |
| Base 3 | 2111122101 |
| As time | 49312 seconds = 13 h 41 min 52 s |
Is 49312 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49312 ÷ 2 = 24656) | 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 (49312 ÷ 4 = 12328) | 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 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 (49312 ÷ 8 = 6164) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 10) | 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 49312 a prime number?
No. 49312 = × 23 × 67, so it is divisible by 2.
What are the factors of 49312?
1, 2, 4, 8, 16, 23, 32, 46, 67, 92, 134, 184, 268, 368, 536, 736, 1072, 1541, 2144, 3082, 6164, 12328, 24656, 49312.
What is 49312 in binary?
1100000010100000 (hexadecimal C0A0, octal 140240).
What is the square root of 49312?
About 222.0631, exactly 4√3082.
Is 49312 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 49312?
It is a composite number with 24 divisors.