The number 42450
42450 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 283. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 283, 566, 849, 1415 … 42450.
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How to work it out
- 1
What is special about 42450: a Harshad number: divisible by its digit sum 15.
- 2
42450 is composite. Its prime factorisation is
- 3
The divisors add up to 105648; without 42450 itself that is 63198, so 42450 is abundant (63198 is more than 42450). Euler's totient φ(42450) = 11280 numbers up to 42450 share no factor with it.
- 4
The digits of 42450 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 225 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42450 = 2 \times 3 \times 5^{2} \times 283 \]42450 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 105648 |
| Euler totient φ(n) | 11280 |
| Square | 1802002500 |
| Cube | 76495006125000 |
| Square root | 206.033978 (= 5√1698) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 225 |
| Scientific notation | 4.245 × |
42450 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and fifty |
| Binary (base 2) | 1010010111010010 |
| Octal (base 8) | 122722 |
| Hexadecimal (base 16) | A5D2 |
| Base 3 | 2011020020 |
| As time | 42450 seconds = 11 h 47 min 30 s |
Is 42450 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42450 ÷ 2 = 21225) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42450 ÷ 3 = 14150) | 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 (42450 ÷ 5 = 8490) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42450 ÷ 6 = 7075) | 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 | No (remainder 2) | 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 | Yes (42450 ÷ 10 = 4245) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42450 a prime number?
No. 42450 = 2 × 3 × × 283, so it is divisible by 2.
What are the factors of 42450?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 283, 566, 849, 1415, 1698, 2830, 4245, 7075, 8490, 14150, 21225, 42450.
What is 42450 in binary?
1010010111010010 (hexadecimal A5D2, octal 122722).
What is the square root of 42450?
About 206.0340, exactly 5√1698.
Is 42450 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42450?
42450 is a Harshad number: divisible by its digit sum 15.