The number 48789
48789 is a composite number with 16 divisors. Its prime factorisation is × 13 × 139. Divisors (16): 1, 3, 9, 13, 27, 39, 117, 139, 351, 417, 1251, 1807, 3753, 5421, 16263, 48789.
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How to work it out
- 1
48789 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48789 is composite. Its prime factorisation is
- 3
The divisors add up to 78400; without 48789 itself that is 29611, so 48789 is deficient (29611 is less than 48789). Euler's totient φ(48789) = 29808 numbers up to 48789 share no factor with it.
- 4
The digits of 48789 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48789 = 3^{3} \times 13 \times 139 \]48789 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 78400 |
| Euler totient φ(n) | 29808 |
| Square | 2380366521 |
| Cube | 116135702193069 |
| Square root | 220.882322 (= 3√5421) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.8789 × |
48789 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and eighty-nine |
| Binary (base 2) | 1011111010010101 |
| Octal (base 8) | 137225 |
| Hexadecimal (base 16) | BE95 |
| Base 3 | 2110221000 |
| As time | 48789 seconds = 13 h 33 min 9 s |
Is 48789 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 (48789 ÷ 3 = 16263) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48789 ÷ 9 = 5421) | 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 4) | 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 48789 a prime number?
No. 48789 = × 13 × 139, so it is divisible by 3.
What are the factors of 48789?
1, 3, 9, 13, 27, 39, 117, 139, 351, 417, 1251, 1807, 3753, 5421, 16263, 48789.
What is 48789 in binary?
1011111010010101 (hexadecimal BE95, octal 137225).
What is the square root of 48789?
About 220.8823, exactly 3√5421.
Is 48789 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 48789?
It is a composite number with 16 divisors.