The number 78489
78489 is a binary palindrome (10011001010011001). Its prime factorisation is × 17 × 19. Divisors (24): 1, 3, 9, 17, 19, 27, 51, 57, 81, 153, 171, 243, 323, 459, 513, 969 … 78489.
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How to work it out
- 1
What is special about 78489: a binary palindrome (10011001010011001).
- 2
78489 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 78489 itself that is 52551, so 78489 is deficient (52551 is less than 78489). Euler's totient φ(78489) = 46656 numbers up to 78489 share no factor with it.
- 4
The digits of 78489 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 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 78489 = 3^{5} \times 17 \times 19 \]78489 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 46656 |
| Square | 6160523121 |
| Cube | 483533299244169 |
| Square root | 280.158883 (= 9√969) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.8489 × |
78489 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand four hundred and eighty-nine |
| Binary (base 2) | 10011001010011001 |
| Octal (base 8) | 231231 |
| Hexadecimal (base 16) | 13299 |
| Base 3 | 10222200000 |
| As time | 78489 seconds = 21 h 48 min 9 s |
Is 78489 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 (78489 ÷ 3 = 26163) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (78489 ÷ 9 = 8721) | 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 78489 a prime number?
No. 78489 = × 17 × 19, so it is divisible by 3.
What are the factors of 78489?
1, 3, 9, 17, 19, 27, 51, 57, 81, 153, 171, 243, 323, 459, 513, 969, 1377, 1539, 2907, 4131, 4617, 8721, 26163, 78489.
What is 78489 in binary?
10011001010011001 (hexadecimal 13299, octal 231231).
What is the square root of 78489?
About 280.1589, exactly 9√969.
Is 78489 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 78489?
78489 is a binary palindrome (10011001010011001).