The number 48832
48832 is a composite number with 28 divisors. Its prime factorisation is × 7 × 109. Divisors (28): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 109, 112, 218, 224, 436 … 48832.
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How to work it out
- 1
48832 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48832 is composite. Its prime factorisation is
- 3
The divisors add up to 111760; without 48832 itself that is 62928, so 48832 is abundant (62928 is more than 48832). Euler's totient φ(48832) = 20736 numbers up to 48832 share no factor with it.
- 4
The digits of 48832 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48832 = 2^{6} \times 7 \times 109 \]48832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 111760 |
| Euler totient φ(n) | 20736 |
| Square | 2384564224 |
| Cube | 116443040186368 |
| Square root | 220.979637 (= 8√763) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8832 × |
48832 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and thirty-two |
| Binary (base 2) | 1011111011000000 |
| Octal (base 8) | 137300 |
| Hexadecimal (base 16) | BEC0 |
| Base 3 | 2110222121 |
| As time | 48832 seconds = 13 h 33 min 52 s |
Is 48832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48832 ÷ 2 = 24416) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48832 ÷ 4 = 12208) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48832 ÷ 7 = 6976) | 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 (48832 ÷ 8 = 6104) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48832 a prime number?
No. 48832 = × 7 × 109, so it is divisible by 2.
What are the factors of 48832?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 109, 112, 218, 224, 436, 448, 763, 872, 1526, 1744, 3052, 3488, 6104, 6976, 12208, 24416, 48832.
What is 48832 in binary?
1011111011000000 (hexadecimal BEC0, octal 137300).
What is the square root of 48832?
About 220.9796, exactly 8√763.
Is 48832 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 48832?
It is a composite number with 28 divisors.