The number 49549
49549 is a twin prime (49547 and 49549 are both prime) and the 5092nd prime number. Its only divisors are 1 and 49549.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49549: a twin prime (49547 and 49549 are both prime); the 5092nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49549 is prime, so its only factors are 1 and 49549. It is the 5092nd prime; the next prime is 49559 and the one before is 49547.
- 3
The divisors add up to 49550; without 49549 itself that is 1, so 49549 is deficient (1 is less than 49549). Euler's totient φ(49549) = 49548 numbers up to 49549 share no factor with it.
- 4
The digits of 49549 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
49549 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49550 |
| Euler totient φ(n) | 49548 |
| Square | 2455103401 |
| Cube | 121647918416149 |
| Square root | 222.596047 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.9549 × |
49549 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand five hundred and forty-nine |
| Binary (base 2) | 1100000110001101 |
| Octal (base 8) | 140615 |
| Hexadecimal (base 16) | C18D |
| Base 3 | 2111222011 |
| As time | 49549 seconds = 13 h 45 min 49 s |
Is 49549 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49549 a prime number?
Yes. 49549 is divisible only by 1 and itself.
What are the factors of 49549?
1, 49549.
What is 49549 in binary?
1100000110001101 (hexadecimal C18D, octal 140615).
What is the square root of 49549?
About 222.5960.
Is 49549 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 49549?
49549 is a twin prime (49547 and 49549 are both prime); the 5092nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.