The number 49545
49545 is a composite number with 16 divisors. Its prime factorisation is × 5 × 367. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 135, 367, 1101, 1835, 3303, 5505, 9909, 16515, 49545.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49545: a Harshad number: divisible by its digit sum 27.
- 2
49545 is composite. Its prime factorisation is
- 3
The divisors add up to 88320; without 49545 itself that is 38775, so 49545 is deficient (38775 is less than 49545). Euler's totient φ(49545) = 26352 numbers up to 49545 share no factor with it.
- 4
The digits of 49545 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49545 = 3^{3} \times 5 \times 367 \]49545 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 88320 |
| Euler totient φ(n) | 26352 |
| Square | 2454707025 |
| Cube | 121618459553625 |
| Square root | 222.587062 (= 3√5505) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.9545 × |
49545 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand five hundred and forty-five |
| Binary (base 2) | 1100000110001001 |
| Octal (base 8) | 140611 |
| Hexadecimal (base 16) | C189 |
| Base 3 | 2111222000 |
| As time | 49545 seconds = 13 h 45 min 45 s |
Is 49545 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 (49545 ÷ 3 = 16515) | 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 | Yes (49545 ÷ 5 = 9909) | 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 6) | 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 (49545 ÷ 9 = 5505) | 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 1) | 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 49545 a prime number?
No. 49545 = × 5 × 367, so it is divisible by 3.
What are the factors of 49545?
1, 3, 5, 9, 15, 27, 45, 135, 367, 1101, 1835, 3303, 5505, 9909, 16515, 49545.
What is 49545 in binary?
1100000110001001 (hexadecimal C189, octal 140611).
What is the square root of 49545?
About 222.5871, exactly 3√5505.
Is 49545 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49545?
49545 is a Harshad number: divisible by its digit sum 27.