The number 49808
49808 is a composite number with 20 divisors. Its prime factorisation is × 11 × 283. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 283, 566, 1132, 2264, 3113, 4528 … 49808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49808 is composite. Its prime factorisation is
- 3
The divisors add up to 105648; without 49808 itself that is 55840, so 49808 is abundant (55840 is more than 49808). Euler's totient φ(49808) = 22560 numbers up to 49808 share no factor with it.
- 4
The digits of 49808 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49808 = 2^{4} \times 11 \times 283 \]49808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 105648 |
| Euler totient φ(n) | 22560 |
| Square | 2480836864 |
| Cube | 123565522522112 |
| Square root | 223.177060 (= 4√3113) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.9808 × |
49808 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and eight |
| Binary (base 2) | 1100001010010000 |
| Octal (base 8) | 141220 |
| Hexadecimal (base 16) | C290 |
| Base 3 | 2112022202 |
| As time | 49808 seconds = 13 h 50 min 8 s |
Is 49808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49808 ÷ 2 = 24904) | 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 (49808 ÷ 4 = 12452) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (49808 ÷ 8 = 6226) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (49808 ÷ 11 = 4528) | 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 49808 a prime number?
No. 49808 = × 11 × 283, so it is divisible by 2.
What are the factors of 49808?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 283, 566, 1132, 2264, 3113, 4528, 6226, 12452, 24904, 49808.
What is 49808 in binary?
1100001010010000 (hexadecimal C290, octal 141220).
What is the square root of 49808?
About 223.1771, exactly 4√3113.
Is 49808 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 49808?
It is a composite number with 20 divisors.