The number 49220
49220 is a composite number with 24 divisors. Its prime factorisation is × 5 × 23 × 107. Divisors (24): 1, 2, 4, 5, 10, 20, 23, 46, 92, 107, 115, 214, 230, 428, 460, 535 … 49220.
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How to work it out
- 1
49220 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49220 is composite. Its prime factorisation is
- 3
The divisors add up to 108864; without 49220 itself that is 59644, so 49220 is abundant (59644 is more than 49220). Euler's totient φ(49220) = 18656 numbers up to 49220 share no factor with it.
- 4
The digits of 49220 add up to 17, 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
\[ 49220 = 2^{2} \times 5 \times 23 \times 107 \]49220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 108864 |
| Euler totient φ(n) | 18656 |
| Square | 2422608400 |
| Cube | 119240785448000 |
| Square root | 221.855809 (= 2√12305) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.922 × |
49220 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand two hundred and twenty |
| Binary (base 2) | 1100000001000100 |
| Octal (base 8) | 140104 |
| Hexadecimal (base 16) | C044 |
| Base 3 | 2111111222 |
| As time | 49220 seconds = 13 h 40 min 20 s |
Is 49220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49220 ÷ 2 = 24610) | 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 (49220 ÷ 4 = 12305) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49220 ÷ 5 = 9844) | 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 3) | 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 | Yes (49220 ÷ 10 = 4922) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49220 a prime number?
No. 49220 = × 5 × 23 × 107, so it is divisible by 2.
What are the factors of 49220?
1, 2, 4, 5, 10, 20, 23, 46, 92, 107, 115, 214, 230, 428, 460, 535, 1070, 2140, 2461, 4922, 9844, 12305, 24610, 49220.
What is 49220 in binary?
1100000001000100 (hexadecimal C044, octal 140104).
What is the square root of 49220?
About 221.8558, exactly 2√12305.
Is 49220 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 49220?
It is a composite number with 24 divisors.