The number 49116
49116 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4093. Divisors (12): 1, 2, 3, 4, 6, 12, 4093, 8186, 12279, 16372, 24558, 49116.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49116 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49116 is composite. Its prime factorisation is
- 3
The divisors add up to 114632; without 49116 itself that is 65516, so 49116 is abundant (65516 is more than 49116). Euler's totient φ(49116) = 16368 numbers up to 49116 share no factor with it.
- 4
The digits of 49116 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49116 = 2^{2} \times 3 \times 4093 \]49116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 114632 |
| Euler totient φ(n) | 16368 |
| Square | 2412381456 |
| Cube | 118486527592896 |
| Square root | 221.621299 (= 2√12279) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.9116 × |
49116 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand one hundred and sixteen |
| Binary (base 2) | 1011111111011100 |
| Octal (base 8) | 137734 |
| Hexadecimal (base 16) | BFDC |
| Base 3 | 2111101010 |
| As time | 49116 seconds = 13 h 38 min 36 s |
Is 49116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49116 ÷ 2 = 24558) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49116 ÷ 3 = 16372) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49116 ÷ 4 = 12279) | 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 (49116 ÷ 6 = 8186) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49116 ÷ 12 = 4093) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49116 a prime number?
No. 49116 = × 3 × 4093, so it is divisible by 2.
What are the factors of 49116?
1, 2, 3, 4, 6, 12, 4093, 8186, 12279, 16372, 24558, 49116.
What is 49116 in binary?
1011111111011100 (hexadecimal BFDC, octal 137734).
What is the square root of 49116?
About 221.6213, exactly 2√12279.
Is 49116 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 49116?
It is a composite number with 12 divisors.