The number 49184
49184 is a composite number with 24 divisors. Its prime factorisation is × 29 × 53. Divisors (24): 1, 2, 4, 8, 16, 29, 32, 53, 58, 106, 116, 212, 232, 424, 464, 848 … 49184.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49184 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49184 is composite. Its prime factorisation is
- 3
The divisors add up to 102060; without 49184 itself that is 52876, so 49184 is abundant (52876 is more than 49184). Euler's totient φ(49184) = 23296 numbers up to 49184 share no factor with it.
- 4
The digits of 49184 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49184 = 2^{5} \times 29 \times 53 \]49184 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 102060 |
| Euler totient φ(n) | 23296 |
| Square | 2419065856 |
| Cube | 118979335061504 |
| Square root | 221.774660 (= 4√3074) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9184 × |
49184 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand one hundred and eighty-four |
| Binary (base 2) | 1100000000100000 |
| Octal (base 8) | 140040 |
| Hexadecimal (base 16) | C020 |
| Base 3 | 2111110122 |
| As time | 49184 seconds = 13 h 39 min 44 s |
Is 49184 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49184 ÷ 2 = 24592) | 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 (49184 ÷ 4 = 12296) | 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 2) | 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 (49184 ÷ 8 = 6148) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 49184 a prime number?
No. 49184 = × 29 × 53, so it is divisible by 2.
What are the factors of 49184?
1, 2, 4, 8, 16, 29, 32, 53, 58, 106, 116, 212, 232, 424, 464, 848, 928, 1537, 1696, 3074, 6148, 12296, 24592, 49184.
What is 49184 in binary?
1100000000100000 (hexadecimal C020, octal 140040).
What is the square root of 49184?
About 221.7747, exactly 4√3074.
Is 49184 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 49184?
It is a composite number with 24 divisors.