The number 49080
49080 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 409. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 49080.
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How to work it out
- 1
49080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49080 is composite. Its prime factorisation is
- 3
The divisors add up to 147600; without 49080 itself that is 98520, so 49080 is abundant (98520 is more than 49080). Euler's totient φ(49080) = 13056 numbers up to 49080 share no factor with it.
- 4
The digits of 49080 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49080 = 2^{3} \times 3 \times 5 \times 409 \]49080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 147600 |
| Euler totient φ(n) | 13056 |
| Square | 2408846400 |
| Cube | 118226181312000 |
| Square root | 221.540064 (= 2√12270) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.908 × |
49080 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and eighty |
| Binary (base 2) | 1011111110111000 |
| Octal (base 8) | 137670 |
| Hexadecimal (base 16) | BFB8 |
| Base 3 | 2111022210 |
| As time | 49080 seconds = 13 h 38 min 0 s |
Is 49080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49080 ÷ 2 = 24540) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49080 ÷ 3 = 16360) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49080 ÷ 4 = 12270) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49080 ÷ 5 = 9816) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49080 ÷ 6 = 8180) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (49080 ÷ 8 = 6135) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49080 ÷ 10 = 4908) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49080 ÷ 12 = 4090) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49080 a prime number?
No. 49080 = × 3 × 5 × 409, so it is divisible by 2.
What are the factors of 49080?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 409, 818, 1227, 1636, 2045, 2454, 3272, 4090, 4908, 6135, 8180, 9816, 12270, 16360, 24540, 49080.
What is 49080 in binary?
1011111110111000 (hexadecimal BFB8, octal 137670).
What is the square root of 49080?
About 221.5401, exactly 2√12270.
Is 49080 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 49080?
It is a composite number with 32 divisors.