The number 28464
28464 is a composite number with 20 divisors. Its prime factorisation is × 3 × 593. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 593, 1186, 1779, 2372, 3558, 4744 … 28464.
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How to work it out
- 1
What is special about 28464: a Harshad number: divisible by its digit sum 24.
- 2
28464 is composite. Its prime factorisation is
- 3
The divisors add up to 73656; without 28464 itself that is 45192, so 28464 is abundant (45192 is more than 28464). Euler's totient φ(28464) = 9472 numbers up to 28464 share no factor with it.
- 4
The digits of 28464 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 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28464 = 2^{4} \times 3 \times 593 \]28464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 73656 |
| Euler totient φ(n) | 9472 |
| Square | 810199296 |
| Cube | 23061512761344 |
| Square root | 168.712774 (= 4√1779) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.8464 × |
28464 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand four hundred and sixty-four |
| Binary (base 2) | 110111100110000 |
| Octal (base 8) | 67460 |
| Hexadecimal (base 16) | 6F30 |
| Base 3 | 1110001020 |
| As time | 28464 seconds = 7 h 54 min 24 s |
Is 28464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28464 ÷ 2 = 14232) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (28464 ÷ 3 = 9488) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (28464 ÷ 4 = 7116) | 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 | Yes (28464 ÷ 6 = 4744) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (28464 ÷ 8 = 3558) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (28464 ÷ 12 = 2372) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28464 a prime number?
No. 28464 = × 3 × 593, so it is divisible by 2.
What are the factors of 28464?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 593, 1186, 1779, 2372, 3558, 4744, 7116, 9488, 14232, 28464.
What is 28464 in binary?
110111100110000 (hexadecimal 6F30, octal 67460).
What is the square root of 28464?
About 168.7128, exactly 4√1779.
Is 28464 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 28464?
28464 is a Harshad number: divisible by its digit sum 24.