The number 48200
48200 is a composite number with 24 divisors. Its prime factorisation is × × 241. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 241, 482, 964, 1205 … 48200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48200 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48200 is composite. Its prime factorisation is
- 3
The divisors add up to 112530; without 48200 itself that is 64330, so 48200 is abundant (64330 is more than 48200). Euler's totient φ(48200) = 19200 numbers up to 48200 share no factor with it.
- 4
The digits of 48200 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48200 = 2^{3} \times 5^{2} \times 241 \]48200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 112530 |
| Euler totient φ(n) | 19200 |
| Square | 2323240000 |
| Cube | 111980168000000 |
| Square root | 219.544984 (= 10√482) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.82 × |
48200 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred |
| Binary (base 2) | 1011110001001000 |
| Octal (base 8) | 136110 |
| Hexadecimal (base 16) | BC48 |
| Base 3 | 2110010012 |
| As time | 48200 seconds = 13 h 23 min 20 s |
Is 48200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48200 ÷ 2 = 24100) | 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 (48200 ÷ 4 = 12050) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48200 ÷ 5 = 9640) | 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 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 (48200 ÷ 8 = 6025) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48200 ÷ 10 = 4820) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48200 a prime number?
No. 48200 = × × 241, so it is divisible by 2.
What are the factors of 48200?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 241, 482, 964, 1205, 1928, 2410, 4820, 6025, 9640, 12050, 24100, 48200.
What is 48200 in binary?
1011110001001000 (hexadecimal BC48, octal 136110).
What is the square root of 48200?
About 219.5450, exactly 10√482.
Is 48200 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 48200?
It is a composite number with 24 divisors.