The number 49924
49924 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1783. Divisors (12): 1, 2, 4, 7, 14, 28, 1783, 3566, 7132, 12481, 24962, 49924.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49924: a Harshad number: divisible by its digit sum 28.
- 2
49924 is composite. Its prime factorisation is
- 3
The divisors add up to 99904; without 49924 itself that is 49980, so 49924 is abundant (49980 is more than 49924). Euler's totient φ(49924) = 21384 numbers up to 49924 share no factor with it.
- 4
The digits of 49924 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49924 = 2^{2} \times 7 \times 1783 \]49924 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 99904 |
| Euler totient φ(n) | 21384 |
| Square | 2492405776 |
| Cube | 124430865961024 |
| Square root | 223.436792 (= 2√12481) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9924 × |
49924 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and twenty-four |
| Binary (base 2) | 1100001100000100 |
| Octal (base 8) | 141404 |
| Hexadecimal (base 16) | C304 |
| Base 3 | 2112111001 |
| As time | 49924 seconds = 13 h 52 min 4 s |
Is 49924 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49924 ÷ 2 = 24962) | 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 (49924 ÷ 4 = 12481) | 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 | Yes (49924 ÷ 7 = 7132) | 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 | No (remainder 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 49924 a prime number?
No. 49924 = × 7 × 1783, so it is divisible by 2.
What are the factors of 49924?
1, 2, 4, 7, 14, 28, 1783, 3566, 7132, 12481, 24962, 49924.
What is 49924 in binary?
1100001100000100 (hexadecimal C304, octal 141404).
What is the square root of 49924?
About 223.4368, exactly 2√12481.
Is 49924 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 49924?
49924 is a Harshad number: divisible by its digit sum 28.