The number 49664
49664 is a composite number with 20 divisors. Its prime factorisation is × 97. Divisors (20): 1, 2, 4, 8, 16, 32, 64, 97, 128, 194, 256, 388, 512, 776, 1552, 3104 … 49664.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49664 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49664 is composite. Its prime factorisation is
- 3
The divisors add up to 100254; without 49664 itself that is 50590, so 49664 is abundant (50590 is more than 49664). Euler's totient φ(49664) = 24576 numbers up to 49664 share no factor with it.
- 4
The digits of 49664 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49664 = 2^{9} \times 97 \]49664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 100254 |
| Euler totient φ(n) | 24576 |
| Square | 2466512896 |
| Cube | 122496896466944 |
| Square root | 222.854212 (= 16√194) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.9664 × |
49664 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand six hundred and sixty-four |
| Binary (base 2) | 1100001000000000 |
| Octal (base 8) | 141000 |
| Hexadecimal (base 16) | C200 |
| Base 3 | 2112010102 |
| As time | 49664 seconds = 13 h 47 min 44 s |
Is 49664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49664 ÷ 2 = 24832) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49664 ÷ 4 = 12416) | 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 | No (remainder 2) | 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 (49664 ÷ 8 = 6208) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49664 a prime number?
No. 49664 = × 97, so it is divisible by 2.
What are the factors of 49664?
1, 2, 4, 8, 16, 32, 64, 97, 128, 194, 256, 388, 512, 776, 1552, 3104, 6208, 12416, 24832, 49664.
What is 49664 in binary?
1100001000000000 (hexadecimal C200, octal 141000).
What is the square root of 49664?
About 222.8542, exactly 16√194.
Is 49664 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 49664?
It is a composite number with 20 divisors.