The number 49188
49188 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4099. Divisors (12): 1, 2, 3, 4, 6, 12, 4099, 8198, 12297, 16396, 24594, 49188.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49188: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49188 is composite. Its prime factorisation is
- 3
The divisors add up to 114800; without 49188 itself that is 65612, so 49188 is abundant (65612 is more than 49188). Euler's totient φ(49188) = 16392 numbers up to 49188 share no factor with it.
- 4
The digits of 49188 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49188 = 2^{2} \times 3 \times 4099 \]49188 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 114800 |
| Euler totient φ(n) | 16392 |
| Square | 2419459344 |
| Cube | 119008366212672 |
| Square root | 221.783678 (= 2√12297) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9188 × |
49188 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand one hundred and eighty-eight |
| Binary (base 2) | 1100000000100100 |
| Octal (base 8) | 140044 |
| Hexadecimal (base 16) | C024 |
| Base 3 | 2111110210 |
| As time | 49188 seconds = 13 h 39 min 48 s |
Is 49188 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49188 ÷ 2 = 24594) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49188 ÷ 3 = 16396) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49188 ÷ 4 = 12297) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49188 ÷ 6 = 8198) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49188 ÷ 12 = 4099) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49188 a prime number?
No. 49188 = × 3 × 4099, so it is divisible by 2.
What are the factors of 49188?
1, 2, 3, 4, 6, 12, 4099, 8198, 12297, 16396, 24594, 49188.
What is 49188 in binary?
1100000000100100 (hexadecimal C024, octal 140044).
What is the square root of 49188?
About 221.7837, exactly 2√12297.
Is 49188 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 49188?
49188 is a happy number: repeatedly adding the squares of its digits reaches 1.