The number 49668
49668 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4139. Divisors (12): 1, 2, 3, 4, 6, 12, 4139, 8278, 12417, 16556, 24834, 49668.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49668 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49668 is composite. Its prime factorisation is
- 3
The divisors add up to 115920; without 49668 itself that is 66252, so 49668 is abundant (66252 is more than 49668). Euler's totient φ(49668) = 16552 numbers up to 49668 share no factor with it.
- 4
The digits of 49668 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49668 = 2^{2} \times 3 \times 4139 \]49668 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 115920 |
| Euler totient φ(n) | 16552 |
| Square | 2466910224 |
| Cube | 122526497005632 |
| Square root | 222.863187 (= 2√12417) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9668 × |
49668 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand six hundred and sixty-eight |
| Binary (base 2) | 1100001000000100 |
| Octal (base 8) | 141004 |
| Hexadecimal (base 16) | C204 |
| Base 3 | 2112010120 |
| As time | 49668 seconds = 13 h 47 min 48 s |
Is 49668 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49668 ÷ 2 = 24834) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49668 ÷ 3 = 16556) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49668 ÷ 4 = 12417) | 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 (49668 ÷ 6 = 8278) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49668 ÷ 12 = 4139) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49668 a prime number?
No. 49668 = × 3 × 4139, so it is divisible by 2.
What are the factors of 49668?
1, 2, 3, 4, 6, 12, 4139, 8278, 12417, 16556, 24834, 49668.
What is 49668 in binary?
1100001000000100 (hexadecimal C204, octal 141004).
What is the square root of 49668?
About 222.8632, exactly 2√12417.
Is 49668 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 49668?
It is a composite number with 12 divisors.