The number 49688
49688 is a composite number with 8 divisors. Its prime factorisation is × 6211. Divisors (8): 1, 2, 4, 8, 6211, 12422, 24844, 49688.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49688 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49688 is composite. Its prime factorisation is
- 3
The divisors add up to 93180; without 49688 itself that is 43492, so 49688 is deficient (43492 is less than 49688). Euler's totient φ(49688) = 24840 numbers up to 49688 share no factor with it.
- 4
The digits of 49688 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49688 = 2^{3} \times 6211 \]49688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 93180 |
| Euler totient φ(n) | 24840 |
| Square | 2468897344 |
| Cube | 122674571228672 |
| Square root | 222.908053 (= 2√12422) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9688 × |
49688 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand six hundred and eighty-eight |
| Binary (base 2) | 1100001000011000 |
| Octal (base 8) | 141030 |
| Hexadecimal (base 16) | C218 |
| Base 3 | 2112011022 |
| As time | 49688 seconds = 13 h 48 min 8 s |
Is 49688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49688 ÷ 2 = 24844) | 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 (49688 ÷ 4 = 12422) | 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 2) | 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 (49688 ÷ 8 = 6211) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49688 a prime number?
No. 49688 = × 6211, so it is divisible by 2.
What are the factors of 49688?
1, 2, 4, 8, 6211, 12422, 24844, 49688.
What is 49688 in binary?
1100001000011000 (hexadecimal C218, octal 141030).
What is the square root of 49688?
About 222.9081, exactly 2√12422.
Is 49688 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 49688?
It is a composite number with 8 divisors.