The number 48760
48760 is a composite number with 32 divisors. Its prime factorisation is × 5 × 23 × 53. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 53, 92, 106, 115, 184, 212 … 48760.
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How to work it out
- 1
48760 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48760 is composite. Its prime factorisation is
- 3
The divisors add up to 116640; without 48760 itself that is 67880, so 48760 is abundant (67880 is more than 48760). Euler's totient φ(48760) = 18304 numbers up to 48760 share no factor with it.
- 4
The digits of 48760 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48760 = 2^{3} \times 5 \times 23 \times 53 \]48760 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 116640 |
| Euler totient φ(n) | 18304 |
| Square | 2377537600 |
| Cube | 115928733376000 |
| Square root | 220.816666 (= 2√12190) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.876 × |
48760 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and sixty |
| Binary (base 2) | 1011111001111000 |
| Octal (base 8) | 137170 |
| Hexadecimal (base 16) | BE78 |
| Base 3 | 2110212221 |
| As time | 48760 seconds = 13 h 32 min 40 s |
Is 48760 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48760 ÷ 2 = 24380) | 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 (48760 ÷ 4 = 12190) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48760 ÷ 5 = 9752) | 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 | 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 (48760 ÷ 8 = 6095) | 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 | Yes (48760 ÷ 10 = 4876) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 48760 a prime number?
No. 48760 = × 5 × 23 × 53, so it is divisible by 2.
What are the factors of 48760?
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 53, 92, 106, 115, 184, 212, 230, 265, 424, 460, 530, 920, 1060, 1219, 2120, 2438, 4876, 6095, 9752, 12190, 24380, 48760.
What is 48760 in binary?
1011111001111000 (hexadecimal BE78, octal 137170).
What is the square root of 48760?
About 220.8167, exactly 2√12190.
Is 48760 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 48760?
It is a composite number with 32 divisors.