The number 49789
49789 is a twin prime (49787 and 49789 are both prime) and the 5113th prime number. Its only divisors are 1 and 49789.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49789: a twin prime (49787 and 49789 are both prime); the 5113th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49789 is prime, so its only factors are 1 and 49789. It is the 5113th prime; the next prime is 49801 and the one before is 49787.
- 3
The divisors add up to 49790; without 49789 itself that is 1, so 49789 is deficient (1 is less than 49789). Euler's totient φ(49789) = 49788 numbers up to 49789 share no factor with it.
- 4
The digits of 49789 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
49789 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49790 |
| Euler totient φ(n) | 49788 |
| Square | 2478944521 |
| Cube | 123424168756069 |
| Square root | 223.134489 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.9789 × |
49789 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and eighty-nine |
| Binary (base 2) | 1100001001111101 |
| Octal (base 8) | 141175 |
| Hexadecimal (base 16) | C27D |
| Base 3 | 2112022001 |
| As time | 49789 seconds = 13 h 49 min 49 s |
Is 49789 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 5) | 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 1) | 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 3) | 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 49789 a prime number?
Yes. 49789 is divisible only by 1 and itself.
What are the factors of 49789?
1, 49789.
What is 49789 in binary?
1100001001111101 (hexadecimal C27D, octal 141175).
What is the square root of 49789?
About 223.1345.
Is 49789 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 49789?
49789 is a twin prime (49787 and 49789 are both prime); the 5113th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.