The number 48540
48540 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 809. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 809, 1618, 2427, 3236 … 48540.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48540 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48540 is composite. Its prime factorisation is
- 3
The divisors add up to 136080; without 48540 itself that is 87540, so 48540 is abundant (87540 is more than 48540). Euler's totient φ(48540) = 12928 numbers up to 48540 share no factor with it.
- 4
The digits of 48540 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 251 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48540 = 2^{2} \times 3 \times 5 \times 809 \]48540 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 136080 |
| Euler totient φ(n) | 12928 |
| Square | 2356131600 |
| Cube | 114366627864000 |
| Square root | 220.317952 (= 2√12135) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 251 |
| Scientific notation | 4.854 × |
48540 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand five hundred and forty |
| Binary (base 2) | 1011110110011100 |
| Octal (base 8) | 136634 |
| Hexadecimal (base 16) | BD9C |
| Base 3 | 2110120210 |
| As time | 48540 seconds = 13 h 29 min 0 s |
Is 48540 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48540 ÷ 2 = 24270) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48540 ÷ 3 = 16180) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48540 ÷ 4 = 12135) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48540 ÷ 5 = 9708) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48540 ÷ 6 = 8090) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48540 ÷ 10 = 4854) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48540 ÷ 12 = 4045) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48540 a prime number?
No. 48540 = × 3 × 5 × 809, so it is divisible by 2.
What are the factors of 48540?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 809, 1618, 2427, 3236, 4045, 4854, 8090, 9708, 12135, 16180, 24270, 48540.
What is 48540 in binary?
1011110110011100 (hexadecimal BD9C, octal 136634).
What is the square root of 48540?
About 220.3180, exactly 2√12135.
Is 48540 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48540?
It is a composite number with 24 divisors.