The number 48852
48852 is a composite number with 36 divisors. Its prime factorisation is × × 23 × 59. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 59, 69, 92, 118, 138 … 48852.
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How to work it out
- 1
48852 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48852 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 48852 itself that is 82188, so 48852 is abundant (82188 is more than 48852). Euler's totient φ(48852) = 15312 numbers up to 48852 share no factor with it.
- 4
The digits of 48852 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48852 = 2^{2} \times 3^{2} \times 23 \times 59 \]48852 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 15312 |
| Square | 2386517904 |
| Cube | 116586172646208 |
| Square root | 221.024885 (= 6√1357) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8852 × |
48852 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and fifty-two |
| Binary (base 2) | 1011111011010100 |
| Octal (base 8) | 137324 |
| Hexadecimal (base 16) | BED4 |
| Base 3 | 2111000100 |
| As time | 48852 seconds = 13 h 34 min 12 s |
Is 48852 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48852 ÷ 2 = 24426) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48852 ÷ 3 = 16284) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48852 ÷ 4 = 12213) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48852 ÷ 6 = 8142) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48852 ÷ 9 = 5428) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48852 ÷ 12 = 4071) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48852 a prime number?
No. 48852 = × × 23 × 59, so it is divisible by 2.
What are the factors of 48852?
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 59, 69, 92, 118, 138, 177, 207, 236, 276, 354, 414, 531, 708, 828, 1062, 1357, 2124, 2714, 4071, 5428, 8142, 12213, 16284, 24426, 48852.
What is 48852 in binary?
1011111011010100 (hexadecimal BED4, octal 137324).
What is the square root of 48852?
About 221.0249, exactly 6√1357.
Is 48852 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48852?
It is a composite number with 36 divisors.