The number 49164
49164 is a composite number with 24 divisors. Its prime factorisation is × 3 × 17 × 241. Divisors (24): 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 241, 482, 723, 964 … 49164.
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How to work it out
- 1
49164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49164 is composite. Its prime factorisation is
- 3
The divisors add up to 121968; without 49164 itself that is 72804, so 49164 is abundant (72804 is more than 49164). Euler's totient φ(49164) = 15360 numbers up to 49164 share no factor with it.
- 4
The digits of 49164 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49164 = 2^{2} \times 3 \times 17 \times 241 \]49164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 121968 |
| Euler totient φ(n) | 15360 |
| Square | 2417098896 |
| Cube | 118834250122944 |
| Square root | 221.729565 (= 2√12291) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9164 × |
49164 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand one hundred and sixty-four |
| Binary (base 2) | 1100000000001100 |
| Octal (base 8) | 140014 |
| Hexadecimal (base 16) | C00C |
| Base 3 | 2111102220 |
| As time | 49164 seconds = 13 h 39 min 24 s |
Is 49164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49164 ÷ 2 = 24582) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49164 ÷ 3 = 16388) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49164 ÷ 4 = 12291) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49164 ÷ 6 = 8194) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49164 ÷ 12 = 4097) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49164 a prime number?
No. 49164 = × 3 × 17 × 241, so it is divisible by 2.
What are the factors of 49164?
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 241, 482, 723, 964, 1446, 2892, 4097, 8194, 12291, 16388, 24582, 49164.
What is 49164 in binary?
1100000000001100 (hexadecimal C00C, octal 140014).
What is the square root of 49164?
About 221.7296, exactly 2√12291.
Is 49164 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 49164?
It is a composite number with 24 divisors.