The number 49288
49288 is a composite number with 16 divisors. Its prime factorisation is × 61 × 101. Divisors (16): 1, 2, 4, 8, 61, 101, 122, 202, 244, 404, 488, 808, 6161, 12322, 24644, 49288.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49288 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49288 is composite. Its prime factorisation is
- 3
The divisors add up to 94860; without 49288 itself that is 45572, so 49288 is deficient (45572 is less than 49288). Euler's totient φ(49288) = 24000 numbers up to 49288 share no factor with it.
- 4
The digits of 49288 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49288 = 2^{3} \times 61 \times 101 \]49288 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 94860 |
| Euler totient φ(n) | 24000 |
| Square | 2429306944 |
| Cube | 119735680655872 |
| Square root | 222.009009 (= 2√12322) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9288 × |
49288 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand two hundred and eighty-eight |
| Binary (base 2) | 1100000010001000 |
| Octal (base 8) | 140210 |
| Hexadecimal (base 16) | C088 |
| Base 3 | 2111121111 |
| As time | 49288 seconds = 13 h 41 min 28 s |
Is 49288 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49288 ÷ 2 = 24644) | 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 (49288 ÷ 4 = 12322) | 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 | No (remainder 1) | 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 (49288 ÷ 8 = 6161) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49288 a prime number?
No. 49288 = × 61 × 101, so it is divisible by 2.
What are the factors of 49288?
1, 2, 4, 8, 61, 101, 122, 202, 244, 404, 488, 808, 6161, 12322, 24644, 49288.
What is 49288 in binary?
1100000010001000 (hexadecimal C088, octal 140210).
What is the square root of 49288?
About 222.0090, exactly 2√12322.
Is 49288 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 49288?
It is a composite number with 16 divisors.