The number 49455
49455 is a triangular number: 1 + 2 + … + 314 = 49455. Its prime factorisation is × 5 × 7 × 157. Divisors (24): 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 157, 315, 471, 785, 1099 … 49455.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49455: a triangular number: 1 + 2 + … + 314 = 49455.
- 2
49455 is composite. Its prime factorisation is
- 3
The divisors add up to 98592; without 49455 itself that is 49137, so 49455 is deficient (49137 is less than 49455). Euler's totient φ(49455) = 22464 numbers up to 49455 share no factor with it.
- 4
The digits of 49455 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
\[ 49455 = 3^{2} \times 5 \times 7 \times 157 \]49455 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 98592 |
| Euler totient φ(n) | 22464 |
| Square | 2445797025 |
| Cube | 120956891871375 |
| Square root | 222.384802 (= 3√5495) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.9455 × |
49455 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred and fifty-five |
| Binary (base 2) | 1100000100101111 |
| Octal (base 8) | 140457 |
| Hexadecimal (base 16) | C12F |
| Base 3 | 2111211200 |
| As time | 49455 seconds = 13 h 44 min 15 s |
Is 49455 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 (49455 ÷ 3 = 16485) | 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 (49455 ÷ 5 = 9891) | 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 (49455 ÷ 7 = 7065) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49455 ÷ 9 = 5495) | 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 10) | 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 49455 a prime number?
No. 49455 = × 5 × 7 × 157, so it is divisible by 3.
What are the factors of 49455?
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 157, 315, 471, 785, 1099, 1413, 2355, 3297, 5495, 7065, 9891, 16485, 49455.
What is 49455 in binary?
1100000100101111 (hexadecimal C12F, octal 140457).
What is the square root of 49455?
About 222.3848, exactly 3√5495.
Is 49455 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49455?
49455 is a triangular number: 1 + 2 + … + 314 = 49455.