The number 48189
48189 is a binary palindrome (1011110000111101). Its prime factorisation is 3 × 16063. Divisors (4): 1, 3, 16063, 48189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48189: a binary palindrome (1011110000111101); a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 16063, the product of two primes.
- 2
48189 is composite. Its prime factorisation is
- 3
The divisors add up to 64256; without 48189 itself that is 16067, so 48189 is deficient (16067 is less than 48189). Euler's totient φ(48189) = 32124 numbers up to 48189 share no factor with it.
- 4
The digits of 48189 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48189 = 3 \times 16063 \]
48189 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 64256 |
| Euler totient φ(n) | 32124 |
| Square | 2322179721 |
| Cube | 111903518575269 |
| Square root | 219.519931 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.8189 × |
48189 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and eighty-nine |
| Binary (base 2) | 1011110000111101 |
| Octal (base 8) | 136075 |
| Hexadecimal (base 16) | BC3D |
| Base 3 | 2110002210 |
| As time | 48189 seconds = 13 h 23 min 9 s |
Is 48189 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48189 ÷ 3 = 16063) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48189 a prime number?
No. 48189 = 3 × 16063, so it is divisible by 3.
What are the factors of 48189?
1, 3, 16063, 48189.
What is 48189 in binary?
1011110000111101 (hexadecimal BC3D, octal 136075).
What is the square root of 48189?
About 219.5199.
Is 48189 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48189?
48189 is a binary palindrome (1011110000111101); a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 16063, the product of two primes.