The number 49264
49264 is a composite number with 10 divisors. Its prime factorisation is × 3079. Divisors (10): 1, 2, 4, 8, 16, 3079, 6158, 12316, 24632, 49264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49264 is composite. Its prime factorisation is
- 3
The divisors add up to 95480; without 49264 itself that is 46216, so 49264 is deficient (46216 is less than 49264). Euler's totient φ(49264) = 24624 numbers up to 49264 share no factor with it.
- 4
The digits of 49264 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49264 = 2^{4} \times 3079 \]49264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 95480 |
| Euler totient φ(n) | 24624 |
| Square | 2426941696 |
| Cube | 119560855711744 |
| Square root | 221.954950 (= 4√3079) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9264 × |
49264 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand two hundred and sixty-four |
| Binary (base 2) | 1100000001110000 |
| Octal (base 8) | 140160 |
| Hexadecimal (base 16) | C070 |
| Base 3 | 2111120121 |
| As time | 49264 seconds = 13 h 41 min 4 s |
Is 49264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49264 ÷ 2 = 24632) | 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 (49264 ÷ 4 = 12316) | 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 5) | 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 (49264 ÷ 8 = 6158) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | 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 49264 a prime number?
No. 49264 = × 3079, so it is divisible by 2.
What are the factors of 49264?
1, 2, 4, 8, 16, 3079, 6158, 12316, 24632, 49264.
What is 49264 in binary?
1100000001110000 (hexadecimal C070, octal 140160).
What is the square root of 49264?
About 221.9550, exactly 4√3079.
Is 49264 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 49264?
It is a composite number with 10 divisors.