The number 49888
49888 is a composite number with 12 divisors. Its prime factorisation is × 1559. Divisors (12): 1, 2, 4, 8, 16, 32, 1559, 3118, 6236, 12472, 24944, 49888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49888 is composite. Its prime factorisation is
- 3
The divisors add up to 98280; without 49888 itself that is 48392, so 49888 is deficient (48392 is less than 49888). Euler's totient φ(49888) = 24928 numbers up to 49888 share no factor with it.
- 4
The digits of 49888 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49888 = 2^{5} \times 1559 \]49888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98280 |
| Euler totient φ(n) | 24928 |
| Square | 2488812544 |
| Cube | 124161880195072 |
| Square root | 223.356218 (= 4√3118) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9888 × |
49888 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and eighty-eight |
| Binary (base 2) | 1100001011100000 |
| Octal (base 8) | 141340 |
| Hexadecimal (base 16) | C2E0 |
| Base 3 | 2112102201 |
| As time | 49888 seconds = 13 h 51 min 28 s |
Is 49888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49888 ÷ 2 = 24944) | 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 (49888 ÷ 4 = 12472) | 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 6) | 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 (49888 ÷ 8 = 6236) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49888 a prime number?
No. 49888 = × 1559, so it is divisible by 2.
What are the factors of 49888?
1, 2, 4, 8, 16, 32, 1559, 3118, 6236, 12472, 24944, 49888.
What is 49888 in binary?
1100001011100000 (hexadecimal C2E0, octal 141340).
What is the square root of 49888?
About 223.3562, exactly 4√3118.
Is 49888 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 49888?
It is a composite number with 12 divisors.