The number 50148
50148 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 199. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84 … 50148.
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How to work it out
- 1
What is special about 50148: a Harshad number: divisible by its digit sum 18.
- 2
50148 is composite. Its prime factorisation is
- 3
The divisors add up to 145600; without 50148 itself that is 95452, so 50148 is abundant (95452 is more than 50148). Euler's totient φ(50148) = 14256 numbers up to 50148 share no factor with it.
- 4
The digits of 50148 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50148 = 2^{2} \times 3^{2} \times 7 \times 199 \]50148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 145600 |
| Euler totient φ(n) | 14256 |
| Square | 2514821904 |
| Cube | 126113288841792 |
| Square root | 223.937491 (= 6√1393) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0148 × |
50148 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand one hundred and forty-eight |
| Binary (base 2) | 1100001111100100 |
| Octal (base 8) | 141744 |
| Hexadecimal (base 16) | C3E4 |
| Base 3 | 2112210100 |
| As time | 50148 seconds = 13 h 55 min 48 s |
Is 50148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50148 ÷ 2 = 25074) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50148 ÷ 3 = 16716) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50148 ÷ 4 = 12537) | 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 | Yes (50148 ÷ 6 = 8358) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (50148 ÷ 7 = 7164) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50148 ÷ 9 = 5572) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50148 ÷ 12 = 4179) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50148 a prime number?
No. 50148 = × × 7 × 199, so it is divisible by 2.
What are the factors of 50148?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 199, 252, 398, 597, 796, 1194, 1393, 1791, 2388, 2786, 3582, 4179, 5572, 7164, 8358, 12537, 16716, 25074, 50148.
What is 50148 in binary?
1100001111100100 (hexadecimal C3E4, octal 141744).
What is the square root of 50148?
About 223.9375, exactly 6√1393.
Is 50148 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50148?
50148 is a Harshad number: divisible by its digit sum 18.