The number 49960
49960 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1249. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1249, 2498, 4996, 6245, 9992, 12490, 24980, 49960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49960 is composite. Its prime factorisation is
- 3
The divisors add up to 112500; without 49960 itself that is 62540, so 49960 is abundant (62540 is more than 49960). Euler's totient φ(49960) = 19968 numbers up to 49960 share no factor with it.
- 4
The digits of 49960 add up to 28, 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
\[ 49960 = 2^{3} \times 5 \times 1249 \]49960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 112500 |
| Euler totient φ(n) | 19968 |
| Square | 2496001600 |
| Cube | 124700239936000 |
| Square root | 223.517337 (= 2√12490) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.996 × |
49960 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and sixty |
| Binary (base 2) | 1100001100101000 |
| Octal (base 8) | 141450 |
| Hexadecimal (base 16) | C328 |
| Base 3 | 2112112101 |
| As time | 49960 seconds = 13 h 52 min 40 s |
Is 49960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49960 ÷ 2 = 24980) | 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 (49960 ÷ 4 = 12490) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49960 ÷ 5 = 9992) | 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 (49960 ÷ 8 = 6245) | 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 | Yes (49960 ÷ 10 = 4996) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 49960 a prime number?
No. 49960 = × 5 × 1249, so it is divisible by 2.
What are the factors of 49960?
1, 2, 4, 5, 8, 10, 20, 40, 1249, 2498, 4996, 6245, 9992, 12490, 24980, 49960.
What is 49960 in binary?
1100001100101000 (hexadecimal C328, octal 141450).
What is the square root of 49960?
About 223.5173, exactly 2√12490.
Is 49960 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 49960?
It is a composite number with 16 divisors.