The number 49409
49409 is a twin prime (49409 and 49411 are both prime) and the 5076th prime number. Its only divisors are 1 and 49409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49409: a twin prime (49409 and 49411 are both prime); the 5076th prime number.
- 2
49409 is prime, so its only factors are 1 and 49409. It is the 5076th prime; the next prime is 49411 and the one before is 49393.
- 3
The divisors add up to 49410; without 49409 itself that is 1, so 49409 is deficient (1 is less than 49409). Euler's totient φ(49409) = 49408 numbers up to 49409 share no factor with it.
- 4
The digits of 49409 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
49409 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49410 |
| Euler totient φ(n) | 49408 |
| Square | 2441249281 |
| Cube | 120619685724929 |
| Square root | 222.281353 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.9409 × |
49409 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred and nine |
| Binary (base 2) | 1100000100000001 |
| Octal (base 8) | 140401 |
| Hexadecimal (base 16) | C101 |
| Base 3 | 2111202222 |
| As time | 49409 seconds = 13 h 43 min 29 s |
Is 49409 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 2) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49409 a prime number?
Yes. 49409 is divisible only by 1 and itself.
What are the factors of 49409?
1, 49409.
What is 49409 in binary?
1100000100000001 (hexadecimal C101, octal 140401).
What is the square root of 49409?
About 222.2814.
Is 49409 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 49409?
49409 is a twin prime (49409 and 49411 are both prime); the 5076th prime number.