The number 49224
49224 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 293. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 … 49224.
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How to work it out
- 1
What is special about 49224: a Harshad number: divisible by its digit sum 21.
- 2
49224 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 49224 itself that is 91896, so 49224 is abundant (91896 is more than 49224). Euler's totient φ(49224) = 14016 numbers up to 49224 share no factor with it.
- 4
The digits of 49224 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49224 = 2^{3} \times 3 \times 7 \times 293 \]49224 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 14016 |
| Square | 2423002176 |
| Cube | 119269859111424 |
| Square root | 221.864824 (= 2√12306) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.9224 × |
49224 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand two hundred and twenty-four |
| Binary (base 2) | 1100000001001000 |
| Octal (base 8) | 140110 |
| Hexadecimal (base 16) | C048 |
| Base 3 | 2111112010 |
| As time | 49224 seconds = 13 h 40 min 24 s |
Is 49224 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49224 ÷ 2 = 24612) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49224 ÷ 3 = 16408) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49224 ÷ 4 = 12306) | 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 (49224 ÷ 6 = 8204) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49224 ÷ 7 = 7032) | 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 (49224 ÷ 8 = 6153) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49224 ÷ 12 = 4102) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49224 a prime number?
No. 49224 = × 3 × 7 × 293, so it is divisible by 2.
What are the factors of 49224?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 293, 586, 879, 1172, 1758, 2051, 2344, 3516, 4102, 6153, 7032, 8204, 12306, 16408, 24612, 49224.
What is 49224 in binary?
1100000001001000 (hexadecimal C048, octal 140110).
What is the square root of 49224?
About 221.8648, exactly 2√12306.
Is 49224 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 49224?
49224 is a Harshad number: divisible by its digit sum 21.