The number 49180
49180 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2459. Divisors (12): 1, 2, 4, 5, 10, 20, 2459, 4918, 9836, 12295, 24590, 49180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49180 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49180 is composite. Its prime factorisation is
- 3
The divisors add up to 103320; without 49180 itself that is 54140, so 49180 is abundant (54140 is more than 49180). Euler's totient φ(49180) = 19664 numbers up to 49180 share no factor with it.
- 4
The digits of 49180 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49180 = 2^{2} \times 5 \times 2459 \]49180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 103320 |
| Euler totient φ(n) | 19664 |
| Square | 2418672400 |
| Cube | 118950308632000 |
| Square root | 221.765642 (= 2√12295) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.918 × |
49180 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand one hundred and eighty |
| Binary (base 2) | 1100000000011100 |
| Octal (base 8) | 140034 |
| Hexadecimal (base 16) | C01C |
| Base 3 | 2111110111 |
| As time | 49180 seconds = 13 h 39 min 40 s |
Is 49180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49180 ÷ 2 = 24590) | 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 | Yes (49180 ÷ 4 = 12295) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49180 ÷ 5 = 9836) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49180 ÷ 10 = 4918) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49180 a prime number?
No. 49180 = × 5 × 2459, so it is divisible by 2.
What are the factors of 49180?
1, 2, 4, 5, 10, 20, 2459, 4918, 9836, 12295, 24590, 49180.
What is 49180 in binary?
1100000000011100 (hexadecimal C01C, octal 140034).
What is the square root of 49180?
About 221.7656, exactly 2√12295.
Is 49180 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 49180?
It is a composite number with 12 divisors.