The number 49284
49284 is a perfect square (222²). Its prime factorisation is × × . Divisors (27): 1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444 … 49284.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49284: a perfect square (222²).
- 2
49284 is composite. Its prime factorisation is
- 3
The divisors add up to 128037; without 49284 itself that is 78753, so 49284 is abundant (78753 is more than 49284). Euler's totient φ(49284) = 15984 numbers up to 49284 share no factor with it.
- 4
The digits of 49284 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49284 = 2^{2} \times 3^{2} \times 37^{2} \]49284 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 27 |
| Sum of divisors | 128037 |
| Euler totient φ(n) | 15984 |
| Square | 2428912656 |
| Cube | 119706531338304 |
| Square root | 222 |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9284 × |
| Perfect power |
49284 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand two hundred and eighty-four |
| Binary (base 2) | 1100000010000100 |
| Octal (base 8) | 140204 |
| Hexadecimal (base 16) | C084 |
| Base 3 | 2111121100 |
| As time | 49284 seconds = 13 h 41 min 24 s |
Is 49284 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49284 ÷ 2 = 24642) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49284 ÷ 3 = 16428) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49284 ÷ 4 = 12321) | 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 | Yes (49284 ÷ 6 = 8214) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (49284 ÷ 9 = 5476) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49284 ÷ 12 = 4107) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49284 a prime number?
No. 49284 = × × , so it is divisible by 2.
What are the factors of 49284?
1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444, 666, 1332, 1369, 2738, 4107, 5476, 8214, 12321, 16428, 24642, 49284.
What is 49284 in binary?
1100000010000100 (hexadecimal C084, octal 140204).
What is the square root of 49284?
222, because 222 × 222 = 49284.
Is 49284 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49284?
49284 is a perfect square (222²).