The number 49776
49776 is a composite number with 40 divisors. Its prime factorisation is × 3 × 17 × 61. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 61, 68, 102 … 49776.
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How to work it out
- 1
49776 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49776 is composite. Its prime factorisation is
- 3
The divisors add up to 138384; without 49776 itself that is 88608, so 49776 is abundant (88608 is more than 49776). Euler's totient φ(49776) = 15360 numbers up to 49776 share no factor with it.
- 4
The digits of 49776 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49776 = 2^{4} \times 3 \times 17 \times 61 \]49776 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 138384 |
| Euler totient φ(n) | 15360 |
| Square | 2477650176 |
| Cube | 123327515160576 |
| Square root | 223.105356 (= 4√3111) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9776 × |
49776 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and seventy-six |
| Binary (base 2) | 1100001001110000 |
| Octal (base 8) | 141160 |
| Hexadecimal (base 16) | C270 |
| Base 3 | 2112021120 |
| As time | 49776 seconds = 13 h 49 min 36 s |
Is 49776 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49776 ÷ 2 = 24888) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49776 ÷ 3 = 16592) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49776 ÷ 4 = 12444) | 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 (49776 ÷ 6 = 8296) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (49776 ÷ 8 = 6222) | 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 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 (49776 ÷ 12 = 4148) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49776 a prime number?
No. 49776 = × 3 × 17 × 61, so it is divisible by 2.
What are the factors of 49776?
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 61, 68, 102, 122, 136, 183, 204, 244, 272, 366, 408, 488, 732, 816, 976, 1037, 1464, 2074, 2928, 3111, 4148, 6222, 8296, 12444, 16592, 24888, 49776.
What is 49776 in binary?
1100001001110000 (hexadecimal C270, octal 141160).
What is the square root of 49776?
About 223.1054, exactly 4√3111.
Is 49776 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 49776?
It is a composite number with 40 divisors.