The number 49864
49864 is a composite number with 16 divisors. Its prime factorisation is × 23 × 271. Divisors (16): 1, 2, 4, 8, 23, 46, 92, 184, 271, 542, 1084, 2168, 6233, 12466, 24932, 49864.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49864 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49864 is composite. Its prime factorisation is
- 3
The divisors add up to 97920; without 49864 itself that is 48056, so 49864 is deficient (48056 is less than 49864). Euler's totient φ(49864) = 23760 numbers up to 49864 share no factor with it.
- 4
The digits of 49864 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49864 = 2^{3} \times 23 \times 271 \]49864 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 97920 |
| Euler totient φ(n) | 23760 |
| Square | 2486418496 |
| Cube | 123982771884544 |
| Square root | 223.302485 (= 2√12466) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9864 × |
49864 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and sixty-four |
| Binary (base 2) | 1100001011001000 |
| Octal (base 8) | 141310 |
| Hexadecimal (base 16) | C2C8 |
| Base 3 | 2112101211 |
| As time | 49864 seconds = 13 h 51 min 4 s |
Is 49864 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49864 ÷ 2 = 24932) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49864 ÷ 4 = 12466) | 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 4) | 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 | Yes (49864 ÷ 8 = 6233) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49864 a prime number?
No. 49864 = × 23 × 271, so it is divisible by 2.
What are the factors of 49864?
1, 2, 4, 8, 23, 46, 92, 184, 271, 542, 1084, 2168, 6233, 12466, 24932, 49864.
What is 49864 in binary?
1100001011001000 (hexadecimal C2C8, octal 141310).
What is the square root of 49864?
About 223.3025, exactly 2√12466.
Is 49864 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 49864?
It is a composite number with 16 divisors.