The number 48150
48150 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 107. Divisors (36): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 107 … 48150.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48150: a Harshad number: divisible by its digit sum 18.
- 2
48150 is composite. Its prime factorisation is
- 3
The divisors add up to 130572; without 48150 itself that is 82422, so 48150 is abundant (82422 is more than 48150). Euler's totient φ(48150) = 12720 numbers up to 48150 share no factor with it.
- 4
The digits of 48150 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 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48150 = 2 \times 3^{2} \times 5^{2} \times 107 \]48150 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 130572 |
| Euler totient φ(n) | 12720 |
| Square | 2318422500 |
| Cube | 111632043375000 |
| Square root | 219.431083 (= 15√214) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.815 × |
48150 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and fifty |
| Binary (base 2) | 1011110000010110 |
| Octal (base 8) | 136026 |
| Hexadecimal (base 16) | BC16 |
| Base 3 | 2110001100 |
| As time | 48150 seconds = 13 h 22 min 30 s |
Is 48150 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48150 ÷ 2 = 24075) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48150 ÷ 3 = 16050) | 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 (48150 ÷ 5 = 9630) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48150 ÷ 6 = 8025) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48150 ÷ 9 = 5350) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48150 ÷ 10 = 4815) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 48150 a prime number?
No. 48150 = 2 × × × 107, so it is divisible by 2.
What are the factors of 48150?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 107, 150, 214, 225, 321, 450, 535, 642, 963, 1070, 1605, 1926, 2675, 3210, 4815, 5350, 8025, 9630, 16050, 24075, 48150.
What is 48150 in binary?
1011110000010110 (hexadecimal BC16, octal 136026).
What is the square root of 48150?
About 219.4311, exactly 15√214.
Is 48150 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 48150?
48150 is a Harshad number: divisible by its digit sum 18.