The number 48249
48249 is a composite number with 8 divisors. Its prime factorisation is × 1787. Divisors (8): 1, 3, 9, 27, 1787, 5361, 16083, 48249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48249: a Harshad number: divisible by its digit sum 27.
- 2
48249 is composite. Its prime factorisation is
- 3
The divisors add up to 71520; without 48249 itself that is 23271, so 48249 is deficient (23271 is less than 48249). Euler's totient φ(48249) = 32148 numbers up to 48249 share no factor with it.
- 4
The digits of 48249 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48249 = 3^{3} \times 1787 \]48249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 71520 |
| Euler totient φ(n) | 32148 |
| Square | 2327966001 |
| Cube | 112322031582249 |
| Square root | 219.656550 (= 3√5361) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8249 × |
48249 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and forty-nine |
| Binary (base 2) | 1011110001111001 |
| Octal (base 8) | 136171 |
| Hexadecimal (base 16) | BC79 |
| Base 3 | 2110012000 |
| As time | 48249 seconds = 13 h 24 min 9 s |
Is 48249 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 | Yes (48249 ÷ 3 = 16083) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48249 ÷ 9 = 5361) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48249 a prime number?
No. 48249 = × 1787, so it is divisible by 3.
What are the factors of 48249?
1, 3, 9, 27, 1787, 5361, 16083, 48249.
What is 48249 in binary?
1011110001111001 (hexadecimal BC79, octal 136171).
What is the square root of 48249?
About 219.6566, exactly 3√5361.
Is 48249 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48249?
48249 is a Harshad number: divisible by its digit sum 27.