The number 49588
49588 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 23. Divisors (36): 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 49, 77, 92, 98, 154 … 49588.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49588 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49588 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 49588 itself that is 65324, so 49588 is abundant (65324 is more than 49588). Euler's totient φ(49588) = 18480 numbers up to 49588 share no factor with it.
- 4
The digits of 49588 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49588 = 2^{2} \times 7^{2} \times 11 \times 23 \]49588 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 18480 |
| Square | 2458969744 |
| Cube | 121935391665472 |
| Square root | 222.683632 (= 14√253) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 140 |
| Scientific notation | 4.9588 × |
49588 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand five hundred and eighty-eight |
| Binary (base 2) | 1100000110110100 |
| Octal (base 8) | 140664 |
| Hexadecimal (base 16) | C1B4 |
| Base 3 | 2112000121 |
| As time | 49588 seconds = 13 h 46 min 28 s |
Is 49588 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49588 ÷ 2 = 24794) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49588 ÷ 4 = 12397) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49588 ÷ 7 = 7084) | 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 7) | 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 (49588 ÷ 11 = 4508) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49588 a prime number?
No. 49588 = × × 11 × 23, so it is divisible by 2.
What are the factors of 49588?
1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 49, 77, 92, 98, 154, 161, 196, 253, 308, 322, 506, 539, 644, 1012, 1078, 1127, 1771, 2156, 2254, 3542, 4508, 7084, 12397, 24794, 49588.
What is 49588 in binary?
1100000110110100 (hexadecimal C1B4, octal 140664).
What is the square root of 49588?
About 222.6836, exactly 14√253.
Is 49588 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 49588?
It is a composite number with 36 divisors.