The number 48528
48528 is a composite number with 30 divisors. Its prime factorisation is × × 337. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 337 … 48528.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48528 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48528 is composite. Its prime factorisation is
- 3
The divisors add up to 136214; without 48528 itself that is 87686, so 48528 is abundant (87686 is more than 48528). Euler's totient φ(48528) = 16128 numbers up to 48528 share no factor with it.
- 4
The digits of 48528 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48528 = 2^{4} \times 3^{2} \times 337 \]48528 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 136214 |
| Euler totient φ(n) | 16128 |
| Square | 2354966784 |
| Cube | 114281828093952 |
| Square root | 220.290717 (= 12√337) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 26 |
| Scientific notation | 4.8528 × |
48528 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand five hundred and twenty-eight |
| Binary (base 2) | 1011110110010000 |
| Octal (base 8) | 136620 |
| Hexadecimal (base 16) | BD90 |
| Base 3 | 2110120100 |
| As time | 48528 seconds = 13 h 28 min 48 s |
Is 48528 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48528 ÷ 2 = 24264) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48528 ÷ 3 = 16176) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48528 ÷ 4 = 12132) | 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 (48528 ÷ 6 = 8088) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (48528 ÷ 8 = 6066) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48528 ÷ 9 = 5392) | 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 (48528 ÷ 12 = 4044) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48528 a prime number?
No. 48528 = × × 337, so it is divisible by 2.
What are the factors of 48528?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 337, 674, 1011, 1348, 2022, 2696, 3033, 4044, 5392, 6066, 8088, 12132, 16176, 24264, 48528.
What is 48528 in binary?
1011110110010000 (hexadecimal BD90, octal 136620).
What is the square root of 48528?
About 220.2907, exactly 12√337.
Is 48528 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48528?
It is a composite number with 30 divisors.