The number 49540
49540 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2477. Divisors (12): 1, 2, 4, 5, 10, 20, 2477, 4954, 9908, 12385, 24770, 49540.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49540 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49540 is composite. Its prime factorisation is
- 3
The divisors add up to 104076; without 49540 itself that is 54536, so 49540 is abundant (54536 is more than 49540). Euler's totient φ(49540) = 19808 numbers up to 49540 share no factor with it.
- 4
The digits of 49540 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49540 = 2^{2} \times 5 \times 2477 \]49540 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 104076 |
| Euler totient φ(n) | 19808 |
| Square | 2454211600 |
| Cube | 121581642664000 |
| Square root | 222.575830 (= 2√12385) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.954 × |
49540 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand five hundred and forty |
| Binary (base 2) | 1100000110000100 |
| Octal (base 8) | 140604 |
| Hexadecimal (base 16) | C184 |
| Base 3 | 2111221211 |
| As time | 49540 seconds = 13 h 45 min 40 s |
Is 49540 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49540 ÷ 2 = 24770) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49540 ÷ 4 = 12385) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49540 ÷ 5 = 9908) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49540 ÷ 10 = 4954) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49540 a prime number?
No. 49540 = × 5 × 2477, so it is divisible by 2.
What are the factors of 49540?
1, 2, 4, 5, 10, 20, 2477, 4954, 9908, 12385, 24770, 49540.
What is 49540 in binary?
1100000110000100 (hexadecimal C184, octal 140604).
What is the square root of 49540?
About 222.5758, exactly 2√12385.
Is 49540 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 49540?
It is a composite number with 12 divisors.