The number 48500
48500 is a composite number with 24 divisors. Its prime factorisation is × × 97. Divisors (24): 1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 125, 194, 250, 388, 485, 500 … 48500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48500 is composite. Its prime factorisation is
- 3
The divisors add up to 107016; without 48500 itself that is 58516, so 48500 is abundant (58516 is more than 48500). Euler's totient φ(48500) = 19200 numbers up to 48500 share no factor with it.
- 4
The digits of 48500 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48500 = 2^{2} \times 5^{3} \times 97 \]48500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 107016 |
| Euler totient φ(n) | 19200 |
| Square | 2352250000 |
| Cube | 114084125000000 |
| Square root | 220.227155 (= 10√485) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.85 × |
48500 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand five hundred |
| Binary (base 2) | 1011110101110100 |
| Octal (base 8) | 136564 |
| Hexadecimal (base 16) | BD74 |
| Base 3 | 2110112022 |
| As time | 48500 seconds = 13 h 28 min 20 s |
Is 48500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48500 ÷ 2 = 24250) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48500 ÷ 4 = 12125) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48500 ÷ 5 = 9700) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48500 ÷ 10 = 4850) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48500 a prime number?
No. 48500 = × × 97, so it is divisible by 2.
What are the factors of 48500?
1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 125, 194, 250, 388, 485, 500, 970, 1940, 2425, 4850, 9700, 12125, 24250, 48500.
What is 48500 in binary?
1011110101110100 (hexadecimal BD74, octal 136564).
What is the square root of 48500?
About 220.2272, exactly 10√485.
Is 48500 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 48500?
It is a composite number with 24 divisors.