The number 50496
50496 is a composite number with 28 divisors. Its prime factorisation is × 3 × 263. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 263, 526 … 50496.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50496: a Harshad number: divisible by its digit sum 24.
- 2
50496 is composite. Its prime factorisation is
- 3
The divisors add up to 134112; without 50496 itself that is 83616, so 50496 is abundant (83616 is more than 50496). Euler's totient φ(50496) = 16768 numbers up to 50496 share no factor with it.
- 4
The digits of 50496 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50496 = 2^{6} \times 3 \times 263 \]50496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 134112 |
| Euler totient φ(n) | 16768 |
| Square | 2549846016 |
| Cube | 128757024423936 |
| Square root | 224.713150 (= 8√789) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.0496 × |
50496 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand four hundred and ninety-six |
| Binary (base 2) | 1100010101000000 |
| Octal (base 8) | 142500 |
| Hexadecimal (base 16) | C540 |
| Base 3 | 2120021020 |
| As time | 50496 seconds = 14 h 1 min 36 s |
Is 50496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50496 ÷ 2 = 25248) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50496 ÷ 3 = 16832) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50496 ÷ 4 = 12624) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50496 ÷ 6 = 8416) | 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 (50496 ÷ 8 = 6312) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50496 ÷ 12 = 4208) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50496 a prime number?
No. 50496 = × 3 × 263, so it is divisible by 2.
What are the factors of 50496?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 263, 526, 789, 1052, 1578, 2104, 3156, 4208, 6312, 8416, 12624, 16832, 25248, 50496.
What is 50496 in binary?
1100010101000000 (hexadecimal C540, octal 142500).
What is the square root of 50496?
About 224.7132, exactly 8√789.
Is 50496 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 50496?
50496 is a Harshad number: divisible by its digit sum 24.