The number 49320
49320 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 137. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36 … 49320.
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How to work it out
- 1
What is special about 49320: a Harshad number: divisible by its digit sum 18.
- 2
49320 is composite. Its prime factorisation is
- 3
The divisors add up to 161460; without 49320 itself that is 112140, so 49320 is abundant (112140 is more than 49320). Euler's totient φ(49320) = 13056 numbers up to 49320 share no factor with it.
- 4
The digits of 49320 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49320 = 2^{3} \times 3^{2} \times 5 \times 137 \]49320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 161460 |
| Euler totient φ(n) | 13056 |
| Square | 2432462400 |
| Cube | 119969045568000 |
| Square root | 222.081066 (= 6√1370) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.932 × |
49320 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred and twenty |
| Binary (base 2) | 1100000010101000 |
| Octal (base 8) | 140250 |
| Hexadecimal (base 16) | C0A8 |
| Base 3 | 2111122200 |
| As time | 49320 seconds = 13 h 42 min 0 s |
Is 49320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49320 ÷ 2 = 24660) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49320 ÷ 3 = 16440) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49320 ÷ 4 = 12330) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49320 ÷ 5 = 9864) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49320 ÷ 6 = 8220) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (49320 ÷ 8 = 6165) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49320 ÷ 9 = 5480) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49320 ÷ 10 = 4932) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49320 ÷ 12 = 4110) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49320 a prime number?
No. 49320 = × × 5 × 137, so it is divisible by 2.
What are the factors of 49320?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 137, 180, 274, 360, 411, 548, 685, 822, 1096, 1233, 1370, 1644, 2055, 2466, 2740, 3288, 4110, 4932, 5480, 6165, 8220, 9864, 12330, 16440, 24660, 49320.
What is 49320 in binary?
1100000010101000 (hexadecimal C0A8, octal 140250).
What is the square root of 49320?
About 222.0811, exactly 6√1370.
Is 49320 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 49320?
49320 is a Harshad number: divisible by its digit sum 18.