The number 49842
49842 is a composite number with 32 divisors. Its prime factorisation is 2 × × 13 × 71. Divisors (32): 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 71, 78, 117, 142, 213 … 49842.
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How to work it out
- 1
What is special about 49842: a Harshad number: divisible by its digit sum 27.
- 2
49842 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 49842 itself that is 71118, so 49842 is abundant (71118 is more than 49842). Euler's totient φ(49842) = 15120 numbers up to 49842 share no factor with it.
- 4
The digits of 49842 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49842 = 2 \times 3^{3} \times 13 \times 71 \]49842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 15120 |
| Square | 2484224964 |
| Cube | 123818740655688 |
| Square root | 223.253219 (= 3√5538) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.9842 × |
49842 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and forty-two |
| Binary (base 2) | 1100001010110010 |
| Octal (base 8) | 141262 |
| Hexadecimal (base 16) | C2B2 |
| Base 3 | 2112101000 |
| As time | 49842 seconds = 13 h 50 min 42 s |
Is 49842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49842 ÷ 2 = 24921) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49842 ÷ 3 = 16614) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (49842 ÷ 6 = 8307) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49842 ÷ 9 = 5538) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49842 a prime number?
No. 49842 = 2 × × 13 × 71, so it is divisible by 2.
What are the factors of 49842?
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 71, 78, 117, 142, 213, 234, 351, 426, 639, 702, 923, 1278, 1846, 1917, 2769, 3834, 5538, 8307, 16614, 24921, 49842.
What is 49842 in binary?
1100001010110010 (hexadecimal C2B2, octal 141262).
What is the square root of 49842?
About 223.2532, exactly 3√5538.
Is 49842 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49842?
49842 is a Harshad number: divisible by its digit sum 27.