The number 79488
79488 is a composite number with 64 divisors. Its prime factorisation is × × 23. Divisors (64): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 32, 36, 46 … 79488.
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How to work it out
- 1
What is special about 79488: a Harshad number: divisible by its digit sum 36.
- 2
79488 is composite. Its prime factorisation is
- 3
The divisors add up to 244800; without 79488 itself that is 165312, so 79488 is abundant (165312 is more than 79488). Euler's totient φ(79488) = 25344 numbers up to 79488 share no factor with it.
- 4
The digits of 79488 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 79488 = 2^{7} \times 3^{3} \times 23 \]79488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 244800 |
| Euler totient φ(n) | 25344 |
| Square | 6318342144 |
| Cube | 502232380342272 |
| Square root | 281.936163 (= 24√138) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.9488 × |
79488 in other forms
| Form | Value |
|---|---|
| In words | seventy-nine thousand four hundred and eighty-eight |
| Binary (base 2) | 10011011010000000 |
| Octal (base 8) | 233200 |
| Hexadecimal (base 16) | 13680 |
| Base 3 | 11001001000 |
| As time | 79488 seconds = 22 h 4 min 48 s |
Is 79488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (79488 ÷ 2 = 39744) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (79488 ÷ 3 = 26496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (79488 ÷ 4 = 19872) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (79488 ÷ 6 = 13248) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (79488 ÷ 8 = 9936) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (79488 ÷ 9 = 8832) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (79488 ÷ 12 = 6624) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 79488 a prime number?
No. 79488 = × × 23, so it is divisible by 2.
What are the factors of 79488?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 32, 36, 46, 48, 54, 64, 69, 72, 92, 96, 108, 128, 138, 144, 184, 192, 207, 216, 276, 288, 368, 384, 414, 432, 552, 576, 621, 736, 828, 864, 1104, 1152, 1242, 1472, 1656, 1728, 2208, 2484, 2944, 3312, 3456, 4416, 4968, 6624, 8832, 9936, 13248, 19872, 26496, 39744, 79488.
What is 79488 in binary?
10011011010000000 (hexadecimal 13680, octal 233200).
What is the square root of 79488?
About 281.9362, exactly 24√138.
Is 79488 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 79488?
79488 is a Harshad number: divisible by its digit sum 36.