The number 49088
49088 is a composite number with 28 divisors. Its prime factorisation is × 13 × 59. Divisors (28): 1, 2, 4, 8, 13, 16, 26, 32, 52, 59, 64, 104, 118, 208, 236, 416 … 49088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49088 is composite. Its prime factorisation is
- 3
The divisors add up to 106680; without 49088 itself that is 57592, so 49088 is abundant (57592 is more than 49088). Euler's totient φ(49088) = 22272 numbers up to 49088 share no factor with it.
- 4
The digits of 49088 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49088 = 2^{6} \times 13 \times 59 \]49088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 106680 |
| Euler totient φ(n) | 22272 |
| Square | 2409631744 |
| Cube | 118284003049472 |
| Square root | 221.558119 (= 8√767) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9088 × |
49088 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and eighty-eight |
| Binary (base 2) | 1011111111000000 |
| Octal (base 8) | 137700 |
| Hexadecimal (base 16) | BFC0 |
| Base 3 | 2111100002 |
| As time | 49088 seconds = 13 h 38 min 8 s |
Is 49088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49088 ÷ 2 = 24544) | 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 (49088 ÷ 4 = 12272) | 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 4) | 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 (49088 ÷ 8 = 6136) | 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 | No (remainder 6) | 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 49088 a prime number?
No. 49088 = × 13 × 59, so it is divisible by 2.
What are the factors of 49088?
1, 2, 4, 8, 13, 16, 26, 32, 52, 59, 64, 104, 118, 208, 236, 416, 472, 767, 832, 944, 1534, 1888, 3068, 3776, 6136, 12272, 24544, 49088.
What is 49088 in binary?
1011111111000000 (hexadecimal BFC0, octal 137700).
What is the square root of 49088?
About 221.5581, exactly 8√767.
Is 49088 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 49088?
It is a composite number with 28 divisors.