The number 48600
48600 is a composite number with 72 divisors. Its prime factorisation is × × . Divisors (72): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27 … 48600.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48600: a Harshad number: divisible by its digit sum 18.
- 2
48600 is composite. Its prime factorisation is
- 3
The divisors add up to 169260; without 48600 itself that is 120660, so 48600 is abundant (120660 is more than 48600). Euler's totient φ(48600) = 12960 numbers up to 48600 share no factor with it.
- 4
The digits of 48600 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48600 = 2^{3} \times 3^{5} \times 5^{2} \]48600 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 72 |
| Sum of divisors | 169260 |
| Euler totient φ(n) | 12960 |
| Square | 2361960000 |
| Cube | 114791256000000 |
| Square root | 220.454077 (= 90√6) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.86 × |
48600 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred |
| Binary (base 2) | 1011110111011000 |
| Octal (base 8) | 136730 |
| Hexadecimal (base 16) | BDD8 |
| Base 3 | 2110200000 |
| As time | 48600 seconds = 13 h 30 min 0 s |
Is 48600 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48600 ÷ 2 = 24300) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48600 ÷ 3 = 16200) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48600 ÷ 4 = 12150) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48600 ÷ 5 = 9720) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48600 ÷ 6 = 8100) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (48600 ÷ 8 = 6075) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48600 ÷ 9 = 5400) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48600 ÷ 10 = 4860) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48600 ÷ 12 = 4050) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48600 a prime number?
No. 48600 = × × , so it is divisible by 2.
What are the factors of 48600?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 243, 270, 300, 324, 360, 405, 450, 486, 540, 600, 648, 675, 810, 900, 972, 1080, 1215, 1350, 1620, 1800, 1944, 2025, 2430, 2700, 3240, 4050, 4860, 5400, 6075, 8100, 9720, 12150, 16200, 24300, 48600.
What is 48600 in binary?
1011110111011000 (hexadecimal BDD8, octal 136730).
What is the square root of 48600?
About 220.4541, exactly 90√6.
Is 48600 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 48600?
48600 is a Harshad number: divisible by its digit sum 18.