The number 49868
49868 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 137. Divisors (24): 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 137, 182, 274, 364, 548, 959 … 49868.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49868 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49868 is composite. Its prime factorisation is
- 3
The divisors add up to 108192; without 49868 itself that is 58324, so 49868 is abundant (58324 is more than 49868). Euler's totient φ(49868) = 19584 numbers up to 49868 share no factor with it.
- 4
The digits of 49868 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49868 = 2^{2} \times 7 \times 13 \times 137 \]49868 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 108192 |
| Euler totient φ(n) | 19584 |
| Square | 2486817424 |
| Cube | 124012611300032 |
| Square root | 223.311442 (= 2√12467) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9868 × |
49868 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and sixty-eight |
| Binary (base 2) | 1100001011001100 |
| Octal (base 8) | 141314 |
| Hexadecimal (base 16) | C2CC |
| Base 3 | 2112101222 |
| As time | 49868 seconds = 13 h 51 min 8 s |
Is 49868 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49868 ÷ 2 = 24934) | 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 (49868 ÷ 4 = 12467) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (49868 ÷ 7 = 7124) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49868 a prime number?
No. 49868 = × 7 × 13 × 137, so it is divisible by 2.
What are the factors of 49868?
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 137, 182, 274, 364, 548, 959, 1781, 1918, 3562, 3836, 7124, 12467, 24934, 49868.
What is 49868 in binary?
1100001011001100 (hexadecimal C2CC, octal 141314).
What is the square root of 49868?
About 223.3114, exactly 2√12467.
Is 49868 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 49868?
It is a composite number with 24 divisors.