The number 49882
49882 is a composite number with 12 divisors. Its prime factorisation is 2 × × 509. Divisors (12): 1, 2, 7, 14, 49, 98, 509, 1018, 3563, 7126, 24941, 49882.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49882 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49882 is composite. Its prime factorisation is
- 3
The divisors add up to 87210; without 49882 itself that is 37328, so 49882 is deficient (37328 is less than 49882). Euler's totient φ(49882) = 21336 numbers up to 49882 share no factor with it.
- 4
The digits of 49882 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49882 = 2 \times 7^{2} \times 509 \]49882 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 87210 |
| Euler totient φ(n) | 21336 |
| Square | 2488213924 |
| Cube | 124117086956968 |
| Square root | 223.342786 (= 7√1018) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.9882 × |
49882 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and eighty-two |
| Binary (base 2) | 1100001011011010 |
| Octal (base 8) | 141332 |
| Hexadecimal (base 16) | C2DA |
| Base 3 | 2112102111 |
| As time | 49882 seconds = 13 h 51 min 22 s |
Is 49882 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49882 ÷ 2 = 24941) | 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 | No (remainder 2) | 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 | Yes (49882 ÷ 7 = 7126) | 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 2) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49882 a prime number?
No. 49882 = 2 × × 509, so it is divisible by 2.
What are the factors of 49882?
1, 2, 7, 14, 49, 98, 509, 1018, 3563, 7126, 24941, 49882.
What is 49882 in binary?
1100001011011010 (hexadecimal C2DA, octal 141332).
What is the square root of 49882?
About 223.3428, exactly 7√1018.
Is 49882 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 49882?
It is a composite number with 12 divisors.