The number 50850
50850 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 113. Divisors (36): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 113 … 50850.
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How to work it out
- 1
What is special about 50850: a Harshad number: divisible by its digit sum 18.
- 2
50850 is composite. Its prime factorisation is
- 3
The divisors add up to 137826; without 50850 itself that is 86976, so 50850 is abundant (86976 is more than 50850). Euler's totient φ(50850) = 13440 numbers up to 50850 share no factor with it.
- 4
The digits of 50850 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50850 = 2 \times 3^{2} \times 5^{2} \times 113 \]50850 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 137826 |
| Euler totient φ(n) | 13440 |
| Square | 2585722500 |
| Cube | 131483989125000 |
| Square root | 225.499446 (= 15√226) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.085 × |
50850 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand eight hundred and fifty |
| Binary (base 2) | 1100011010100010 |
| Octal (base 8) | 143242 |
| Hexadecimal (base 16) | C6A2 |
| Base 3 | 2120202100 |
| As time | 50850 seconds = 14 h 7 min 30 s |
Is 50850 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50850 ÷ 2 = 25425) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50850 ÷ 3 = 16950) | 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 (50850 ÷ 5 = 10170) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50850 ÷ 6 = 8475) | 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 | Yes (50850 ÷ 9 = 5650) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (50850 ÷ 10 = 5085) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 50850 a prime number?
No. 50850 = 2 × × × 113, so it is divisible by 2.
What are the factors of 50850?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 113, 150, 225, 226, 339, 450, 565, 678, 1017, 1130, 1695, 2034, 2825, 3390, 5085, 5650, 8475, 10170, 16950, 25425, 50850.
What is 50850 in binary?
1100011010100010 (hexadecimal C6A2, octal 143242).
What is the square root of 50850?
About 225.4994, exactly 15√226.
Is 50850 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50850?
50850 is a Harshad number: divisible by its digit sum 18.