The number 49908
49908 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4159. Divisors (12): 1, 2, 3, 4, 6, 12, 4159, 8318, 12477, 16636, 24954, 49908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49908 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49908 is composite. Its prime factorisation is
- 3
The divisors add up to 116480; without 49908 itself that is 66572, so 49908 is abundant (66572 is more than 49908). Euler's totient φ(49908) = 16632 numbers up to 49908 share no factor with it.
- 4
The digits of 49908 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49908 = 2^{2} \times 3 \times 4159 \]49908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 116480 |
| Euler totient φ(n) | 16632 |
| Square | 2490808464 |
| Cube | 124311268821312 |
| Square root | 223.400985 (= 2√12477) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9908 × |
49908 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and eight |
| Binary (base 2) | 1100001011110100 |
| Octal (base 8) | 141364 |
| Hexadecimal (base 16) | C2F4 |
| Base 3 | 2112110110 |
| As time | 49908 seconds = 13 h 51 min 48 s |
Is 49908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49908 ÷ 2 = 24954) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49908 ÷ 3 = 16636) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49908 ÷ 4 = 12477) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49908 ÷ 6 = 8318) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49908 ÷ 12 = 4159) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49908 a prime number?
No. 49908 = × 3 × 4159, so it is divisible by 2.
What are the factors of 49908?
1, 2, 3, 4, 6, 12, 4159, 8318, 12477, 16636, 24954, 49908.
What is 49908 in binary?
1100001011110100 (hexadecimal C2F4, octal 141364).
What is the square root of 49908?
About 223.4010, exactly 2√12477.
Is 49908 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 49908?
It is a composite number with 12 divisors.