The number 48816
48816 is a composite number with 40 divisors. Its prime factorisation is × × 113. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72 … 48816.
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How to work it out
- 1
What is special about 48816: a Harshad number: divisible by its digit sum 27.
- 2
48816 is composite. Its prime factorisation is
- 3
The divisors add up to 141360; without 48816 itself that is 92544, so 48816 is abundant (92544 is more than 48816). Euler's totient φ(48816) = 16128 numbers up to 48816 share no factor with it.
- 4
The digits of 48816 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
\[ 48816 = 2^{4} \times 3^{3} \times 113 \]48816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 141360 |
| Euler totient φ(n) | 16128 |
| Square | 2383001856 |
| Cube | 116328618602496 |
| Square root | 220.943432 (= 12√339) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8816 × |
48816 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and sixteen |
| Binary (base 2) | 1011111010110000 |
| Octal (base 8) | 137260 |
| Hexadecimal (base 16) | BEB0 |
| Base 3 | 2110222000 |
| As time | 48816 seconds = 13 h 33 min 36 s |
Is 48816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48816 ÷ 2 = 24408) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48816 ÷ 3 = 16272) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48816 ÷ 4 = 12204) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48816 ÷ 6 = 8136) | 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 | Yes (48816 ÷ 8 = 6102) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48816 ÷ 9 = 5424) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48816 ÷ 12 = 4068) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48816 a prime number?
No. 48816 = × × 113, so it is divisible by 2.
What are the factors of 48816?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 113, 144, 216, 226, 339, 432, 452, 678, 904, 1017, 1356, 1808, 2034, 2712, 3051, 4068, 5424, 6102, 8136, 12204, 16272, 24408, 48816.
What is 48816 in binary?
1011111010110000 (hexadecimal BEB0, octal 137260).
What is the square root of 48816?
About 220.9434, exactly 12√339.
Is 48816 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48816?
48816 is a Harshad number: divisible by its digit sum 27.