The number 49329
49329 is a composite number with 24 divisors. Its prime factorisation is × 7 × 29. Divisors (24): 1, 3, 7, 9, 21, 27, 29, 63, 81, 87, 189, 203, 243, 261, 567, 609 … 49329.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49329: a Harshad number: divisible by its digit sum 27.
- 2
49329 is composite. Its prime factorisation is
- 3
The divisors add up to 87360; without 49329 itself that is 38031, so 49329 is deficient (38031 is less than 49329). Euler's totient φ(49329) = 27216 numbers up to 49329 share no factor with it.
- 4
The digits of 49329 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49329 = 3^{5} \times 7 \times 29 \]49329 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 87360 |
| Euler totient φ(n) | 27216 |
| Square | 2433350241 |
| Cube | 120034734038289 |
| Square root | 222.101328 (= 9√609) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.9329 × |
49329 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred and twenty-nine |
| Binary (base 2) | 1100000010110001 |
| Octal (base 8) | 140261 |
| Hexadecimal (base 16) | C0B1 |
| Base 3 | 2111200000 |
| As time | 49329 seconds = 13 h 42 min 9 s |
Is 49329 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49329 ÷ 3 = 16443) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49329 ÷ 7 = 7047) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49329 ÷ 9 = 5481) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49329 a prime number?
No. 49329 = × 7 × 29, so it is divisible by 3.
What are the factors of 49329?
1, 3, 7, 9, 21, 27, 29, 63, 81, 87, 189, 203, 243, 261, 567, 609, 783, 1701, 1827, 2349, 5481, 7047, 16443, 49329.
What is 49329 in binary?
1100000010110001 (hexadecimal C0B1, octal 140261).
What is the square root of 49329?
About 222.1013, exactly 9√609.
Is 49329 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49329?
49329 is a Harshad number: divisible by its digit sum 27.