The number 49624
49624 is a composite number with 8 divisors. Its prime factorisation is × 6203. Divisors (8): 1, 2, 4, 8, 6203, 12406, 24812, 49624.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49624 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49624 is composite. Its prime factorisation is
- 3
The divisors add up to 93060; without 49624 itself that is 43436, so 49624 is deficient (43436 is less than 49624). Euler's totient φ(49624) = 24808 numbers up to 49624 share no factor with it.
- 4
The digits of 49624 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49624 = 2^{3} \times 6203 \]49624 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 93060 |
| Euler totient φ(n) | 24808 |
| Square | 2462541376 |
| Cube | 122201153242624 |
| Square root | 222.764450 (= 2√12406) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.9624 × |
49624 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand six hundred and twenty-four |
| Binary (base 2) | 1100000111011000 |
| Octal (base 8) | 140730 |
| Hexadecimal (base 16) | C1D8 |
| Base 3 | 2112001221 |
| As time | 49624 seconds = 13 h 47 min 4 s |
Is 49624 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49624 ÷ 2 = 24812) | 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 (49624 ÷ 4 = 12406) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (49624 ÷ 8 = 6203) | 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 4) | 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 49624 a prime number?
No. 49624 = × 6203, so it is divisible by 2.
What are the factors of 49624?
1, 2, 4, 8, 6203, 12406, 24812, 49624.
What is 49624 in binary?
1100000111011000 (hexadecimal C1D8, octal 140730).
What is the square root of 49624?
About 222.7644, exactly 2√12406.
Is 49624 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 49624?
It is a composite number with 8 divisors.