The number 48160
48160 is a composite number with 48 divisors. Its prime factorisation is × 5 × 7 × 43. Divisors (48): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 43, 56 … 48160.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48160 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48160 is composite. Its prime factorisation is
- 3
The divisors add up to 133056; without 48160 itself that is 84896, so 48160 is abundant (84896 is more than 48160). Euler's totient φ(48160) = 16128 numbers up to 48160 share no factor with it.
- 4
The digits of 48160 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48160 = 2^{5} \times 5 \times 7 \times 43 \]48160 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 133056 |
| Euler totient φ(n) | 16128 |
| Square | 2319385600 |
| Cube | 111701610496000 |
| Square root | 219.453868 (= 4√3010) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.816 × |
48160 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and sixty |
| Binary (base 2) | 1011110000100000 |
| Octal (base 8) | 136040 |
| Hexadecimal (base 16) | BC20 |
| Base 3 | 2110001201 |
| As time | 48160 seconds = 13 h 22 min 40 s |
Is 48160 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48160 ÷ 2 = 24080) | 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 (48160 ÷ 4 = 12040) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48160 ÷ 5 = 9632) | 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 (48160 ÷ 7 = 6880) | 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 (48160 ÷ 8 = 6020) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48160 ÷ 10 = 4816) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 48160 a prime number?
No. 48160 = × 5 × 7 × 43, so it is divisible by 2.
What are the factors of 48160?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 43, 56, 70, 80, 86, 112, 140, 160, 172, 215, 224, 280, 301, 344, 430, 560, 602, 688, 860, 1120, 1204, 1376, 1505, 1720, 2408, 3010, 3440, 4816, 6020, 6880, 9632, 12040, 24080, 48160.
What is 48160 in binary?
1011110000100000 (hexadecimal BC20, octal 136040).
What is the square root of 48160?
About 219.4539, exactly 4√3010.
Is 48160 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 48160?
It is a composite number with 48 divisors.