The number 48900
48900 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 163. Divisors (36): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100 … 48900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48900 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48900 is composite. Its prime factorisation is
- 3
The divisors add up to 142352; without 48900 itself that is 93452, so 48900 is abundant (93452 is more than 48900). Euler's totient φ(48900) = 12960 numbers up to 48900 share no factor with it.
- 4
The digits of 48900 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48900 = 2^{2} \times 3 \times 5^{2} \times 163 \]48900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 142352 |
| Euler totient φ(n) | 12960 |
| Square | 2391210000 |
| Cube | 116930169000000 |
| Square root | 221.133444 (= 10√489) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.89 × |
48900 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred |
| Binary (base 2) | 1011111100000100 |
| Octal (base 8) | 137404 |
| Hexadecimal (base 16) | BF04 |
| Base 3 | 2111002010 |
| As time | 48900 seconds = 13 h 35 min 0 s |
Is 48900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48900 ÷ 2 = 24450) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48900 ÷ 3 = 16300) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48900 ÷ 4 = 12225) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48900 ÷ 5 = 9780) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48900 ÷ 6 = 8150) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48900 ÷ 10 = 4890) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48900 ÷ 12 = 4075) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48900 a prime number?
No. 48900 = × 3 × × 163, so it is divisible by 2.
What are the factors of 48900?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 163, 300, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4075, 4890, 8150, 9780, 12225, 16300, 24450, 48900.
What is 48900 in binary?
1011111100000100 (hexadecimal BF04, octal 137404).
What is the square root of 48900?
About 221.1334, exactly 10√489.
Is 48900 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48900?
It is a composite number with 36 divisors.