The number 49792
49792 is a composite number with 16 divisors. Its prime factorisation is × 389. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 389, 778, 1556, 3112, 6224, 12448, 24896, 49792.
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How to work it out
- 1
49792 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49792 is composite. Its prime factorisation is
- 3
The divisors add up to 99450; without 49792 itself that is 49658, so 49792 is deficient (49658 is less than 49792). Euler's totient φ(49792) = 24832 numbers up to 49792 share no factor with it.
- 4
The digits of 49792 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49792 = 2^{7} \times 389 \]49792 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 99450 |
| Euler totient φ(n) | 24832 |
| Square | 2479243264 |
| Cube | 123446480601088 |
| Square root | 223.141211 (= 8√778) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.9792 × |
49792 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and ninety-two |
| Binary (base 2) | 1100001010000000 |
| Octal (base 8) | 141200 |
| Hexadecimal (base 16) | C280 |
| Base 3 | 2112022011 |
| As time | 49792 seconds = 13 h 49 min 52 s |
Is 49792 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49792 ÷ 2 = 24896) | 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 (49792 ÷ 4 = 12448) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 (49792 ÷ 8 = 6224) | 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 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49792 a prime number?
No. 49792 = × 389, so it is divisible by 2.
What are the factors of 49792?
1, 2, 4, 8, 16, 32, 64, 128, 389, 778, 1556, 3112, 6224, 12448, 24896, 49792.
What is 49792 in binary?
1100001010000000 (hexadecimal C280, octal 141200).
What is the square root of 49792?
About 223.1412, exactly 8√778.
Is 49792 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 49792?
It is a composite number with 16 divisors.