The number 50128
50128 is a composite number with 20 divisors. Its prime factorisation is × 13 × 241. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 241, 482, 964, 1928, 3133, 3856 … 50128.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50128: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
50128 is composite. Its prime factorisation is
- 3
The divisors add up to 105028; without 50128 itself that is 54900, so 50128 is abundant (54900 is more than 50128). Euler's totient φ(50128) = 23040 numbers up to 50128 share no factor with it.
- 4
The digits of 50128 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50128 = 2^{4} \times 13 \times 241 \]50128 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 105028 |
| Euler totient φ(n) | 23040 |
| Square | 2512816384 |
| Cube | 125962459697152 |
| Square root | 223.892832 (= 4√3133) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.0128 × |
50128 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand one hundred and twenty-eight |
| Binary (base 2) | 1100001111010000 |
| Octal (base 8) | 141720 |
| Hexadecimal (base 16) | C3D0 |
| Base 3 | 2112202121 |
| As time | 50128 seconds = 13 h 55 min 28 s |
Is 50128 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50128 ÷ 2 = 25064) | 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 (50128 ÷ 4 = 12532) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 1) | 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 (50128 ÷ 8 = 6266) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50128 a prime number?
No. 50128 = × 13 × 241, so it is divisible by 2.
What are the factors of 50128?
1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 241, 482, 964, 1928, 3133, 3856, 6266, 12532, 25064, 50128.
What is 50128 in binary?
1100001111010000 (hexadecimal C3D0, octal 141720).
What is the square root of 50128?
About 223.8928, exactly 4√3133.
Is 50128 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 50128?
50128 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.