The number 48449
48449 is the 4983rd prime number. Its only divisors are 1 and 48449.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48449: the 4983rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48449 is prime, so its only factors are 1 and 48449. It is the 4983rd prime; the next prime is 48463 and the one before is 48437.
- 3
The divisors add up to 48450; without 48449 itself that is 1, so 48449 is deficient (1 is less than 48449). Euler's totient φ(48449) = 48448 numbers up to 48449 share no factor with it.
- 4
The digits of 48449 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
48449 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48450 |
| Euler totient φ(n) | 48448 |
| Square | 2347305601 |
| Cube | 113724609062849 |
| Square root | 220.111335 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8449 × |
48449 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and forty-nine |
| Binary (base 2) | 1011110101000001 |
| Octal (base 8) | 136501 |
| Hexadecimal (base 16) | BD41 |
| Base 3 | 2110110102 |
| As time | 48449 seconds = 13 h 27 min 29 s |
Is 48449 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 2) | 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 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48449 a prime number?
Yes. 48449 is divisible only by 1 and itself.
What are the factors of 48449?
1, 48449.
What is 48449 in binary?
1011110101000001 (hexadecimal BD41, octal 136501).
What is the square root of 48449?
About 220.1113.
Is 48449 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 48449?
48449 is the 4983rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.