The number 50440
50440 is a composite number with 32 divisors. Its prime factorisation is × 5 × 13 × 97. Divisors (32): 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 97, 104, 130, 194 … 50440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50440: a Harshad number: divisible by its digit sum 13.
- 2
50440 is composite. Its prime factorisation is
- 3
The divisors add up to 123480; without 50440 itself that is 73040, so 50440 is abundant (73040 is more than 50440). Euler's totient φ(50440) = 18432 numbers up to 50440 share no factor with it.
- 4
The digits of 50440 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50440 = 2^{3} \times 5 \times 13 \times 97 \]50440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 123480 |
| Euler totient φ(n) | 18432 |
| Square | 2544193600 |
| Cube | 128329125184000 |
| Square root | 224.588513 (= 2√12610) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.044 × |
50440 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand four hundred and forty |
| Binary (base 2) | 1100010100001000 |
| Octal (base 8) | 142410 |
| Hexadecimal (base 16) | C508 |
| Base 3 | 2120012011 |
| As time | 50440 seconds = 14 h 0 min 40 s |
Is 50440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50440 ÷ 2 = 25220) | 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 | Yes (50440 ÷ 4 = 12610) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50440 ÷ 5 = 10088) | 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 | Yes (50440 ÷ 8 = 6305) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (50440 ÷ 10 = 5044) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50440 a prime number?
No. 50440 = × 5 × 13 × 97, so it is divisible by 2.
What are the factors of 50440?
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 97, 104, 130, 194, 260, 388, 485, 520, 776, 970, 1261, 1940, 2522, 3880, 5044, 6305, 10088, 12610, 25220, 50440.
What is 50440 in binary?
1100010100001000 (hexadecimal C508, octal 142410).
What is the square root of 50440?
About 224.5885, exactly 2√12610.
Is 50440 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 50440?
50440 is a Harshad number: divisible by its digit sum 13.