The number 48750
48750 is a composite number with 40 divisors. Its prime factorisation is 2 × 3 × × 13. Divisors (40): 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78 … 48750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48750 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48750 is composite. Its prime factorisation is
- 3
The divisors add up to 131208; without 48750 itself that is 82458, so 48750 is abundant (82458 is more than 48750). Euler's totient φ(48750) = 12000 numbers up to 48750 share no factor with it.
- 4
The digits of 48750 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48750 = 2 \times 3 \times 5^{4} \times 13 \]48750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 131208 |
| Euler totient φ(n) | 12000 |
| Square | 2376562500 |
| Cube | 115857421875000 |
| Square root | 220.794022 (= 25√78) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.875 × |
48750 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and fifty |
| Binary (base 2) | 1011111001101110 |
| Octal (base 8) | 137156 |
| Hexadecimal (base 16) | BE6E |
| Base 3 | 2110212120 |
| As time | 48750 seconds = 13 h 32 min 30 s |
Is 48750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48750 ÷ 2 = 24375) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48750 ÷ 3 = 16250) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48750 ÷ 5 = 9750) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48750 ÷ 6 = 8125) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48750 ÷ 10 = 4875) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48750 a prime number?
No. 48750 = 2 × 3 × × 13, so it is divisible by 2.
What are the factors of 48750?
1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 625, 650, 750, 975, 1250, 1625, 1875, 1950, 3250, 3750, 4875, 8125, 9750, 16250, 24375, 48750.
What is 48750 in binary?
1011111001101110 (hexadecimal BE6E, octal 137156).
What is the square root of 48750?
About 220.7940, exactly 25√78.
Is 48750 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48750?
It is a composite number with 40 divisors.