The number 48649
48649 is a twin prime (48647 and 48649 are both prime) and the 5004th prime number. Its only divisors are 1 and 48649.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48649: a twin prime (48647 and 48649 are both prime); the 5004th prime number.
- 2
48649 is prime, so its only factors are 1 and 48649. It is the 5004th prime; the next prime is 48661 and the one before is 48647.
- 3
The divisors add up to 48650; without 48649 itself that is 1, so 48649 is deficient (1 is less than 48649). Euler's totient φ(48649) = 48648 numbers up to 48649 share no factor with it.
- 4
The digits of 48649 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 70 steps to reach 1.
48649 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48650 |
| Euler totient φ(n) | 48648 |
| Square | 2366725201 |
| Cube | 115138814303449 |
| Square root | 220.565183 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8649 × |
48649 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and forty-nine |
| Binary (base 2) | 1011111000001001 |
| Octal (base 8) | 137011 |
| Hexadecimal (base 16) | BE09 |
| Base 3 | 2110201211 |
| As time | 48649 seconds = 13 h 30 min 49 s |
Is 48649 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 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 | 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 7) | 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 48649 a prime number?
Yes. 48649 is divisible only by 1 and itself.
What are the factors of 48649?
1, 48649.
What is 48649 in binary?
1011111000001001 (hexadecimal BE09, octal 137011).
What is the square root of 48649?
About 220.5652.
Is 48649 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 48649?
48649 is a twin prime (48647 and 48649 are both prime); the 5004th prime number.