The number 49086
49086 is a composite number with 24 divisors. Its prime factorisation is 2 × × 101. Divisors (24): 1, 2, 3, 6, 9, 18, 27, 54, 81, 101, 162, 202, 243, 303, 486, 606 … 49086.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49086: a Harshad number: divisible by its digit sum 27.
- 2
49086 is composite. Its prime factorisation is
- 3
The divisors add up to 111384; without 49086 itself that is 62298, so 49086 is abundant (62298 is more than 49086). Euler's totient φ(49086) = 16200 numbers up to 49086 share no factor with it.
- 4
The digits of 49086 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49086 = 2 \times 3^{5} \times 101 \]49086 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 111384 |
| Euler totient φ(n) | 16200 |
| Square | 2409435396 |
| Cube | 118269545848056 |
| Square root | 221.553605 (= 9√606) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9086 × |
49086 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and eighty-six |
| Binary (base 2) | 1011111110111110 |
| Octal (base 8) | 137676 |
| Hexadecimal (base 16) | BFBE |
| Base 3 | 2111100000 |
| As time | 49086 seconds = 13 h 38 min 6 s |
Is 49086 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49086 ÷ 2 = 24543) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49086 ÷ 3 = 16362) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49086 ÷ 6 = 8181) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49086 ÷ 9 = 5454) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49086 a prime number?
No. 49086 = 2 × × 101, so it is divisible by 2.
What are the factors of 49086?
1, 2, 3, 6, 9, 18, 27, 54, 81, 101, 162, 202, 243, 303, 486, 606, 909, 1818, 2727, 5454, 8181, 16362, 24543, 49086.
What is 49086 in binary?
1011111110111110 (hexadecimal BFBE, octal 137676).
What is the square root of 49086?
About 221.5536, exactly 9√606.
Is 49086 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49086?
49086 is a Harshad number: divisible by its digit sum 27.