The number 40050
40050 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 89. Divisors (36): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 89, 90 … 40050.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40050: a Harshad number: divisible by its digit sum 9.
- 2
40050 is composite. Its prime factorisation is
- 3
The divisors add up to 108810; without 40050 itself that is 68760, so 40050 is abundant (68760 is more than 40050). Euler's totient φ(40050) = 10560 numbers up to 40050 share no factor with it.
- 4
The digits of 40050 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40050 = 2 \times 3^{2} \times 5^{2} \times 89 \]40050 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 108810 |
| Euler totient φ(n) | 10560 |
| Square | 1604002500 |
| Cube | 64240300125000 |
| Square root | 200.124961 (= 15√178) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.005 × |
40050 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and fifty |
| Binary (base 2) | 1001110001110010 |
| Octal (base 8) | 116162 |
| Hexadecimal (base 16) | 9C72 |
| Base 3 | 2000221100 |
| As time | 40050 seconds = 11 h 7 min 30 s |
Is 40050 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40050 ÷ 2 = 20025) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40050 ÷ 3 = 13350) | 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 (40050 ÷ 5 = 8010) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40050 ÷ 6 = 6675) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40050 ÷ 9 = 4450) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40050 ÷ 10 = 4005) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40050 a prime number?
No. 40050 = 2 × × × 89, so it is divisible by 2.
What are the factors of 40050?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 89, 90, 150, 178, 225, 267, 445, 450, 534, 801, 890, 1335, 1602, 2225, 2670, 4005, 4450, 6675, 8010, 13350, 20025, 40050.
What is 40050 in binary?
1001110001110010 (hexadecimal 9C72, octal 116162).
What is the square root of 40050?
About 200.1250, exactly 15√178.
Is 40050 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 40050?
40050 is a Harshad number: divisible by its digit sum 9.