The number 49704
49704 is a composite number with 32 divisors. Its prime factorisation is × 3 × 19 × 109. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 109, 114, 152, 218 … 49704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49704: a Harshad number: divisible by its digit sum 24.
- 2
49704 is composite. Its prime factorisation is
- 3
The divisors add up to 132000; without 49704 itself that is 82296, so 49704 is abundant (82296 is more than 49704). Euler's totient φ(49704) = 15552 numbers up to 49704 share no factor with it.
- 4
The digits of 49704 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49704 = 2^{3} \times 3 \times 19 \times 109 \]49704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 132000 |
| Euler totient φ(n) | 15552 |
| Square | 2470487616 |
| Cube | 122793116465664 |
| Square root | 222.943939 (= 2√12426) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.9704 × |
49704 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and four |
| Binary (base 2) | 1100001000101000 |
| Octal (base 8) | 141050 |
| Hexadecimal (base 16) | C228 |
| Base 3 | 2112011220 |
| As time | 49704 seconds = 13 h 48 min 24 s |
Is 49704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49704 ÷ 2 = 24852) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49704 ÷ 3 = 16568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49704 ÷ 4 = 12426) | 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 | Yes (49704 ÷ 6 = 8284) | 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 (49704 ÷ 8 = 6213) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (49704 ÷ 12 = 4142) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49704 a prime number?
No. 49704 = × 3 × 19 × 109, so it is divisible by 2.
What are the factors of 49704?
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 109, 114, 152, 218, 228, 327, 436, 456, 654, 872, 1308, 2071, 2616, 4142, 6213, 8284, 12426, 16568, 24852, 49704.
What is 49704 in binary?
1100001000101000 (hexadecimal C228, octal 141050).
What is the square root of 49704?
About 222.9439, exactly 2√12426.
Is 49704 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 49704?
49704 is a Harshad number: divisible by its digit sum 24.