The number 50040
50040 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 139. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36 … 50040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50040: a Harshad number: divisible by its digit sum 9.
- 2
50040 is composite. Its prime factorisation is
- 3
The divisors add up to 163800; without 50040 itself that is 113760, so 50040 is abundant (113760 is more than 50040). Euler's totient φ(50040) = 13248 numbers up to 50040 share no factor with it.
- 4
The digits of 50040 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50040 = 2^{3} \times 3^{2} \times 5 \times 139 \]50040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 163800 |
| Euler totient φ(n) | 13248 |
| Square | 2504001600 |
| Cube | 125300240064000 |
| Square root | 223.696223 (= 6√1390) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 114 |
| Scientific notation | 5.004 × |
50040 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and forty |
| Binary (base 2) | 1100001101111000 |
| Octal (base 8) | 141570 |
| Hexadecimal (base 16) | C378 |
| Base 3 | 2112122100 |
| As time | 50040 seconds = 13 h 54 min 0 s |
Is 50040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50040 ÷ 2 = 25020) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50040 ÷ 3 = 16680) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50040 ÷ 4 = 12510) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50040 ÷ 5 = 10008) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50040 ÷ 6 = 8340) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (50040 ÷ 8 = 6255) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50040 ÷ 9 = 5560) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (50040 ÷ 10 = 5004) | 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 | Yes (50040 ÷ 12 = 4170) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50040 a prime number?
No. 50040 = × × 5 × 139, so it is divisible by 2.
What are the factors of 50040?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 139, 180, 278, 360, 417, 556, 695, 834, 1112, 1251, 1390, 1668, 2085, 2502, 2780, 3336, 4170, 5004, 5560, 6255, 8340, 10008, 12510, 16680, 25020, 50040.
What is 50040 in binary?
1100001101111000 (hexadecimal C378, octal 141570).
What is the square root of 50040?
About 223.6962, exactly 6√1390.
Is 50040 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 50040?
50040 is a Harshad number: divisible by its digit sum 9.