The number 49275
49275 is a composite number with 24 divisors. Its prime factorisation is × × 73. Divisors (24): 1, 3, 5, 9, 15, 25, 27, 45, 73, 75, 135, 219, 225, 365, 657, 675 … 49275.
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How to work it out
- 1
What is special about 49275: a Harshad number: divisible by its digit sum 27.
- 2
49275 is composite. Its prime factorisation is
- 3
The divisors add up to 91760; without 49275 itself that is 42485, so 49275 is deficient (42485 is less than 49275). Euler's totient φ(49275) = 25920 numbers up to 49275 share no factor with it.
- 4
The digits of 49275 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49275 = 3^{3} \times 5^{2} \times 73 \]49275 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 91760 |
| Euler totient φ(n) | 25920 |
| Square | 2428025625 |
| Cube | 119640962671875 |
| Square root | 221.979729 (= 15√219) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.9275 × |
49275 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand two hundred and seventy-five |
| Binary (base 2) | 1100000001111011 |
| Octal (base 8) | 140173 |
| Hexadecimal (base 16) | C07B |
| Base 3 | 2111121000 |
| As time | 49275 seconds = 13 h 41 min 15 s |
Is 49275 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 (49275 ÷ 3 = 16425) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49275 ÷ 5 = 9855) | 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 | No (remainder 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49275 ÷ 9 = 5475) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49275 a prime number?
No. 49275 = × × 73, so it is divisible by 3.
What are the factors of 49275?
1, 3, 5, 9, 15, 25, 27, 45, 73, 75, 135, 219, 225, 365, 657, 675, 1095, 1825, 1971, 3285, 5475, 9855, 16425, 49275.
What is 49275 in binary?
1100000001111011 (hexadecimal C07B, octal 140173).
What is the square root of 49275?
About 221.9797, exactly 15√219.
Is 49275 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49275?
49275 is a Harshad number: divisible by its digit sum 27.