The number 49760
49760 is a composite number with 24 divisors. Its prime factorisation is × 5 × 311. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 311, 622, 1244, 1555 … 49760.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49760 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49760 is composite. Its prime factorisation is
- 3
The divisors add up to 117936; without 49760 itself that is 68176, so 49760 is abundant (68176 is more than 49760). Euler's totient φ(49760) = 19840 numbers up to 49760 share no factor with it.
- 4
The digits of 49760 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49760 = 2^{5} \times 5 \times 311 \]49760 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 117936 |
| Euler totient φ(n) | 19840 |
| Square | 2476057600 |
| Cube | 123208626176000 |
| Square root | 223.069496 (= 4√3110) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.976 × |
49760 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and sixty |
| Binary (base 2) | 1100001001100000 |
| Octal (base 8) | 141140 |
| Hexadecimal (base 16) | C260 |
| Base 3 | 2112020222 |
| As time | 49760 seconds = 13 h 49 min 20 s |
Is 49760 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49760 ÷ 2 = 24880) | 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 (49760 ÷ 4 = 12440) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49760 ÷ 5 = 9952) | 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 (49760 ÷ 8 = 6220) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49760 ÷ 10 = 4976) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 49760 a prime number?
No. 49760 = × 5 × 311, so it is divisible by 2.
What are the factors of 49760?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 311, 622, 1244, 1555, 2488, 3110, 4976, 6220, 9952, 12440, 24880, 49760.
What is 49760 in binary?
1100001001100000 (hexadecimal C260, octal 141140).
What is the square root of 49760?
About 223.0695, exactly 4√3110.
Is 49760 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 49760?
It is a composite number with 24 divisors.