The number 49940
49940 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 227. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 227, 454, 908, 1135 … 49940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49940 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 49940 itself that is 64972, so 49940 is abundant (64972 is more than 49940). Euler's totient φ(49940) = 18080 numbers up to 49940 share no factor with it.
- 4
The digits of 49940 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49940 = 2^{2} \times 5 \times 11 \times 227 \]49940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 18080 |
| Square | 2494003600 |
| Cube | 124550539784000 |
| Square root | 223.472593 (= 2√12485) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.994 × |
49940 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and forty |
| Binary (base 2) | 1100001100010100 |
| Octal (base 8) | 141424 |
| Hexadecimal (base 16) | C314 |
| Base 3 | 2112111122 |
| As time | 49940 seconds = 13 h 52 min 20 s |
Is 49940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49940 ÷ 2 = 24970) | 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 (49940 ÷ 4 = 12485) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49940 ÷ 5 = 9988) | 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 2) | 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 (49940 ÷ 10 = 4994) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (49940 ÷ 11 = 4540) | 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 49940 a prime number?
No. 49940 = × 5 × 11 × 227, so it is divisible by 2.
What are the factors of 49940?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 227, 454, 908, 1135, 2270, 2497, 4540, 4994, 9988, 12485, 24970, 49940.
What is 49940 in binary?
1100001100010100 (hexadecimal C314, octal 141424).
What is the square root of 49940?
About 223.4726, exactly 2√12485.
Is 49940 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 49940?
It is a composite number with 24 divisors.