The number 89424
89424 is a composite number with 60 divisors. Its prime factorisation is × × 23. Divisors (60): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48 … 89424.
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How to work it out
- 1
What is special about 89424: a Harshad number: divisible by its digit sum 27.
- 2
89424 is composite. Its prime factorisation is
- 3
The divisors add up to 270816; without 89424 itself that is 181392, so 89424 is abundant (181392 is more than 89424). Euler's totient φ(89424) = 28512 numbers up to 89424 share no factor with it.
- 4
The digits of 89424 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89424 = 2^{4} \times 3^{5} \times 23 \]89424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 270816 |
| Euler totient φ(n) | 28512 |
| Square | 7996651776 |
| Cube | 715092588417024 |
| Square root | 299.038459 (= 36√69) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 40 |
| Scientific notation | 8.9424 × |
89424 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand four hundred and twenty-four |
| Binary (base 2) | 10101110101010000 |
| Octal (base 8) | 256520 |
| Hexadecimal (base 16) | 15D50 |
| Base 3 | 11112200000 |
| As time | 89424 seconds = 24 h 50 min 24 s |
Is 89424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (89424 ÷ 2 = 44712) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (89424 ÷ 3 = 29808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (89424 ÷ 4 = 22356) | 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 (89424 ÷ 6 = 14904) | 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 | Yes (89424 ÷ 8 = 11178) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (89424 ÷ 9 = 9936) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (89424 ÷ 12 = 7452) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 89424 a prime number?
No. 89424 = × × 23, so it is divisible by 2.
What are the factors of 89424?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 81, 92, 108, 138, 144, 162, 184, 207, 216, 243, 276, 324, 368, 414, 432, 486, 552, 621, 648, 828, 972, 1104, 1242, 1296, 1656, 1863, 1944, 2484, 3312, 3726, 3888, 4968, 5589, 7452, 9936, 11178, 14904, 22356, 29808, 44712, 89424.
What is 89424 in binary?
10101110101010000 (hexadecimal 15D50, octal 256520).
What is the square root of 89424?
About 299.0385, exactly 36√69.
Is 89424 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 89424?
89424 is a Harshad number: divisible by its digit sum 27.