The number 48564
48564 is a composite number with 36 divisors. Its prime factorisation is × × 19 × 71. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 71, 76, 114, 142 … 48564.
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How to work it out
- 1
48564 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48564 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 48564 itself that is 82476, so 48564 is abundant (82476 is more than 48564). Euler's totient φ(48564) = 15120 numbers up to 48564 share no factor with it.
- 4
The digits of 48564 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
\[ 48564 = 2^{2} \times 3^{2} \times 19 \times 71 \]48564 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 15120 |
| Square | 2358462096 |
| Cube | 114536353230144 |
| Square root | 220.372412 (= 6√1349) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8564 × |
48564 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand five hundred and sixty-four |
| Binary (base 2) | 1011110110110100 |
| Octal (base 8) | 136664 |
| Hexadecimal (base 16) | BDB4 |
| Base 3 | 2110121200 |
| As time | 48564 seconds = 13 h 29 min 24 s |
Is 48564 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48564 ÷ 2 = 24282) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48564 ÷ 3 = 16188) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48564 ÷ 4 = 12141) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48564 ÷ 6 = 8094) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (48564 ÷ 9 = 5396) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48564 ÷ 12 = 4047) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48564 a prime number?
No. 48564 = × × 19 × 71, so it is divisible by 2.
What are the factors of 48564?
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 71, 76, 114, 142, 171, 213, 228, 284, 342, 426, 639, 684, 852, 1278, 1349, 2556, 2698, 4047, 5396, 8094, 12141, 16188, 24282, 48564.
What is 48564 in binary?
1011110110110100 (hexadecimal BDB4, octal 136664).
What is the square root of 48564?
About 220.3724, exactly 6√1349.
Is 48564 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48564?
It is a composite number with 36 divisors.