The number 48870
48870 is a composite number with 32 divisors. Its prime factorisation is 2 × × 5 × 181. Divisors (32): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 181 … 48870.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48870: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
48870 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 48870 itself that is 82170, so 48870 is abundant (82170 is more than 48870). Euler's totient φ(48870) = 12960 numbers up to 48870 share no factor with it.
- 4
The digits of 48870 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48870 = 2 \times 3^{3} \times 5 \times 181 \]48870 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 12960 |
| Square | 2388276900 |
| Cube | 116715092103000 |
| Square root | 221.065601 (= 3√5430) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.887 × |
48870 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and seventy |
| Binary (base 2) | 1011111011100110 |
| Octal (base 8) | 137346 |
| Hexadecimal (base 16) | BEE6 |
| Base 3 | 2111001000 |
| As time | 48870 seconds = 13 h 34 min 30 s |
Is 48870 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48870 ÷ 2 = 24435) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48870 ÷ 3 = 16290) | 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 (48870 ÷ 5 = 9774) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48870 ÷ 6 = 8145) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (48870 ÷ 9 = 5430) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48870 ÷ 10 = 4887) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 48870 a prime number?
No. 48870 = 2 × × 5 × 181, so it is divisible by 2.
What are the factors of 48870?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 181, 270, 362, 543, 905, 1086, 1629, 1810, 2715, 3258, 4887, 5430, 8145, 9774, 16290, 24435, 48870.
What is 48870 in binary?
1011111011100110 (hexadecimal BEE6, octal 137346).
What is the square root of 48870?
About 221.0656, exactly 3√5430.
Is 48870 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48870?
48870 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.