The number 49082
49082 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 23 × 97. Divisors (16): 1, 2, 11, 22, 23, 46, 97, 194, 253, 506, 1067, 2134, 2231, 4462, 24541, 49082.
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How to work it out
- 1
What is special about 49082: a Harshad number: divisible by its digit sum 23.
- 2
49082 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 49082 itself that is 35590, so 49082 is deficient (35590 is less than 49082). Euler's totient φ(49082) = 21120 numbers up to 49082 share no factor with it.
- 4
The digits of 49082 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49082 = 2 \times 11 \times 23 \times 97 \]
49082 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 21120 |
| Square | 2409042724 |
| Cube | 118240634979368 |
| Square root | 221.544578 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9082 × |
49082 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and eighty-two |
| Binary (base 2) | 1011111110111010 |
| Octal (base 8) | 137672 |
| Hexadecimal (base 16) | BFBA |
| Base 3 | 2111022212 |
| As time | 49082 seconds = 13 h 38 min 2 s |
Is 49082 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49082 ÷ 2 = 24541) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (49082 ÷ 11 = 4462) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49082 a prime number?
No. 49082 = 2 × 11 × 23 × 97, so it is divisible by 2.
What are the factors of 49082?
1, 2, 11, 22, 23, 46, 97, 194, 253, 506, 1067, 2134, 2231, 4462, 24541, 49082.
What is 49082 in binary?
1011111110111010 (hexadecimal BFBA, octal 137672).
What is the square root of 49082?
About 221.5446.
Is 49082 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 49082?
49082 is a Harshad number: divisible by its digit sum 23.