The number 49992
49992 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2083. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2083, 4166, 6249, 8332, 12498, 16664, 24996, 49992.
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How to work it out
- 1
What is special about 49992: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49992 is composite. Its prime factorisation is
- 3
The divisors add up to 125040; without 49992 itself that is 75048, so 49992 is abundant (75048 is more than 49992). Euler's totient φ(49992) = 16656 numbers up to 49992 share no factor with it.
- 4
The digits of 49992 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49992 = 2^{3} \times 3 \times 2083 \]49992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 125040 |
| Euler totient φ(n) | 16656 |
| Square | 2499200064 |
| Cube | 124940009599488 |
| Square root | 223.588908 (= 2√12498) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9992 × |
49992 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and ninety-two |
| Binary (base 2) | 1100001101001000 |
| Octal (base 8) | 141510 |
| Hexadecimal (base 16) | C348 |
| Base 3 | 2112120120 |
| As time | 49992 seconds = 13 h 53 min 12 s |
Is 49992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49992 ÷ 2 = 24996) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49992 ÷ 3 = 16664) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49992 ÷ 4 = 12498) | 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 | Yes (49992 ÷ 6 = 8332) | 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 (49992 ÷ 8 = 6249) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49992 ÷ 12 = 4166) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49992 a prime number?
No. 49992 = × 3 × 2083, so it is divisible by 2.
What are the factors of 49992?
1, 2, 3, 4, 6, 8, 12, 24, 2083, 4166, 6249, 8332, 12498, 16664, 24996, 49992.
What is 49992 in binary?
1100001101001000 (hexadecimal C348, octal 141510).
What is the square root of 49992?
About 223.5889, exactly 2√12498.
Is 49992 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 49992?
49992 is a happy number: repeatedly adding the squares of its digits reaches 1.