The number 48390
48390 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 1613. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 1613, 3226, 4839, 8065, 9678, 16130, 24195, 48390.
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How to work it out
- 1
48390 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48390 is composite. Its prime factorisation is
- 3
The divisors add up to 116208; without 48390 itself that is 67818, so 48390 is abundant (67818 is more than 48390). Euler's totient φ(48390) = 12896 numbers up to 48390 share no factor with it.
- 4
The digits of 48390 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48390 = 2 \times 3 \times 5 \times 1613 \]
48390 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 116208 |
| Euler totient φ(n) | 12896 |
| Square | 2341592100 |
| Cube | 113309641719000 |
| Square root | 219.977272 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.839 × |
48390 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and ninety |
| Binary (base 2) | 1011110100000110 |
| Octal (base 8) | 136406 |
| Hexadecimal (base 16) | BD06 |
| Base 3 | 2110101020 |
| As time | 48390 seconds = 13 h 26 min 30 s |
Is 48390 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48390 ÷ 2 = 24195) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48390 ÷ 3 = 16130) | 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 (48390 ÷ 5 = 9678) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48390 ÷ 6 = 8065) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48390 ÷ 10 = 4839) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 48390 a prime number?
No. 48390 = 2 × 3 × 5 × 1613, so it is divisible by 2.
What are the factors of 48390?
1, 2, 3, 5, 6, 10, 15, 30, 1613, 3226, 4839, 8065, 9678, 16130, 24195, 48390.
What is 48390 in binary?
1011110100000110 (hexadecimal BD06, octal 136406).
What is the square root of 48390?
About 219.9773.
Is 48390 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48390?
It is a composite number with 16 divisors.