The number 49818
49818 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 23. Divisors (24): 1, 2, 3, 6, 19, 23, 38, 46, 57, 69, 114, 138, 361, 437, 722, 874 … 49818.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49818: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49818 is composite. Its prime factorisation is
- 3
The divisors add up to 109728; without 49818 itself that is 59910, so 49818 is abundant (59910 is more than 49818). Euler's totient φ(49818) = 15048 numbers up to 49818 share no factor with it.
- 4
The digits of 49818 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49818 = 2 \times 3 \times 19^{2} \times 23 \]49818 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 109728 |
| Euler totient φ(n) | 15048 |
| Square | 2481833124 |
| Cube | 123639962571432 |
| Square root | 223.199462 (= 19√138) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.9818 × |
49818 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and eighteen |
| Binary (base 2) | 1100001010011010 |
| Octal (base 8) | 141232 |
| Hexadecimal (base 16) | C29A |
| Base 3 | 2112100010 |
| As time | 49818 seconds = 13 h 50 min 18 s |
Is 49818 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49818 ÷ 2 = 24909) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49818 ÷ 3 = 16606) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (49818 ÷ 6 = 8303) | 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 2) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49818 a prime number?
No. 49818 = 2 × 3 × × 23, so it is divisible by 2.
What are the factors of 49818?
1, 2, 3, 6, 19, 23, 38, 46, 57, 69, 114, 138, 361, 437, 722, 874, 1083, 1311, 2166, 2622, 8303, 16606, 24909, 49818.
What is 49818 in binary?
1100001010011010 (hexadecimal C29A, octal 141232).
What is the square root of 49818?
About 223.1995, exactly 19√138.
Is 49818 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 49818?
49818 is a happy number: repeatedly adding the squares of its digits reaches 1.