The number 49068
49068 is a composite number with 36 divisors. Its prime factorisation is × × 29 × 47. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 47, 58, 87, 94, 116, 141 … 49068.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49068 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49068 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 49068 itself that is 81972, so 49068 is abundant (81972 is more than 49068). Euler's totient φ(49068) = 15456 numbers up to 49068 share no factor with it.
- 4
The digits of 49068 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49068 = 2^{2} \times 3^{2} \times 29 \times 47 \]49068 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 15456 |
| Square | 2407668624 |
| Cube | 118139484042432 |
| Square root | 221.512979 (= 6√1363) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.9068 × |
49068 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and sixty-eight |
| Binary (base 2) | 1011111110101100 |
| Octal (base 8) | 137654 |
| Hexadecimal (base 16) | BFAC |
| Base 3 | 2111022100 |
| As time | 49068 seconds = 13 h 37 min 48 s |
Is 49068 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49068 ÷ 2 = 24534) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49068 ÷ 3 = 16356) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49068 ÷ 4 = 12267) | 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 (49068 ÷ 6 = 8178) | 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 | Yes (49068 ÷ 9 = 5452) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49068 ÷ 12 = 4089) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49068 a prime number?
No. 49068 = × × 29 × 47, so it is divisible by 2.
What are the factors of 49068?
1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 47, 58, 87, 94, 116, 141, 174, 188, 261, 282, 348, 423, 522, 564, 846, 1044, 1363, 1692, 2726, 4089, 5452, 8178, 12267, 16356, 24534, 49068.
What is 49068 in binary?
1011111110101100 (hexadecimal BFAC, octal 137654).
What is the square root of 49068?
About 221.5130, exactly 6√1363.
Is 49068 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49068?
It is a composite number with 36 divisors.