The number 88450
88450 is a composite number with 24 divisors. Its prime factorisation is 2 × × 29 × 61. Divisors (24): 1, 2, 5, 10, 25, 29, 50, 58, 61, 122, 145, 290, 305, 610, 725, 1450 … 88450.
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How to work it out
- 1
What is special about 88450: a Harshad number: divisible by its digit sum 25.
- 2
88450 is composite. Its prime factorisation is
- 3
The divisors add up to 172980; without 88450 itself that is 84530, so 88450 is deficient (84530 is less than 88450). Euler's totient φ(88450) = 33600 numbers up to 88450 share no factor with it.
- 4
The digits of 88450 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88450 = 2 \times 5^{2} \times 29 \times 61 \]88450 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 172980 |
| Euler totient φ(n) | 33600 |
| Square | 7823402500 |
| Cube | 691979951125000 |
| Square root | 297.405447 (= 5√3538) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.845 × |
88450 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand four hundred and fifty |
| Binary (base 2) | 10101100110000010 |
| Octal (base 8) | 254602 |
| Hexadecimal (base 16) | 15982 |
| Base 3 | 11111022221 |
| As time | 88450 seconds = 24 h 34 min 10 s |
Is 88450 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88450 ÷ 2 = 44225) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88450 ÷ 5 = 17690) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (88450 ÷ 10 = 8845) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88450 a prime number?
No. 88450 = 2 × × 29 × 61, so it is divisible by 2.
What are the factors of 88450?
1, 2, 5, 10, 25, 29, 50, 58, 61, 122, 145, 290, 305, 610, 725, 1450, 1525, 1769, 3050, 3538, 8845, 17690, 44225, 88450.
What is 88450 in binary?
10101100110000010 (hexadecimal 15982, octal 254602).
What is the square root of 88450?
About 297.4054, exactly 5√3538.
Is 88450 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 88450?
88450 is a Harshad number: divisible by its digit sum 25.