The number 49764
49764 is a composite number with 48 divisors. Its prime factorisation is × 3 × 11 × 13 × 29. Divisors (48): 1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 29, 33, 39, 44, 52, 58 … 49764.
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How to work it out
- 1
49764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49764 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 49764 itself that is 91356, so 49764 is abundant (91356 is more than 49764). Euler's totient φ(49764) = 13440 numbers up to 49764 share no factor with it.
- 4
The digits of 49764 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49764 = 2^{2} \times 3 \times 11 \times 13 \times 29 \]49764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 13440 |
| Square | 2476455696 |
| Cube | 123238341255744 |
| Square root | 223.078462 (= 2√12441) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 140 |
| Scientific notation | 4.9764 × |
49764 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and sixty-four |
| Binary (base 2) | 1100001001100100 |
| Octal (base 8) | 141144 |
| Hexadecimal (base 16) | C264 |
| Base 3 | 2112021010 |
| As time | 49764 seconds = 13 h 49 min 24 s |
Is 49764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49764 ÷ 2 = 24882) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49764 ÷ 3 = 16588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49764 ÷ 4 = 12441) | 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 (49764 ÷ 6 = 8294) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (49764 ÷ 11 = 4524) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49764 ÷ 12 = 4147) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49764 a prime number?
No. 49764 = × 3 × 11 × 13 × 29, so it is divisible by 2.
What are the factors of 49764?
1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 29, 33, 39, 44, 52, 58, 66, 78, 87, 116, 132, 143, 156, 174, 286, 319, 348, 377, 429, 572, 638, 754, 858, 957, 1131, 1276, 1508, 1716, 1914, 2262, 3828, 4147, 4524, 8294, 12441, 16588, 24882, 49764.
What is 49764 in binary?
1100001001100100 (hexadecimal C264, octal 141144).
What is the square root of 49764?
About 223.0785, exactly 2√12441.
Is 49764 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 49764?
It is a composite number with 48 divisors.