Check the divisibility of the given numbers, as indicated. Using tests for divisibility.
459827 by 9

Answer

To check the divisibility of the number 459827 by 9, we will follow the divisibility rule for 9, which states that a number is divisible by 9 if the sum of its digits is divisible by 9.

### Step-by-Step Solution:

1. **Identify the digits of the number**: The number given is 459827. The digits are 4, 5, 9, 8, 2, and 7.

2. **Calculate the sum of the digits**:
- Add the digits together:
- \( 4 + 5 = 9 \)
- \( 9 + 9 = 18 \)
- \( 18 + 8 = 26 \)
- \( 26 + 2 = 28 \)
- \( 28 + 7 = 35 \)

Thus, the sum of the digits is \( 35 \).

3. **Check if the sum is divisible by 9**:
- Now, we need to check if 35 is divisible by 9.
- When we divide 35 by 9, we get:
- \( 35 \div 9 = 3.888... \) (which is not a whole number)
- The remainder when dividing 35 by 9 is 8 (since \( 9 \times 3 = 27 \) and \( 35 - 27 = 8 \)).

4. **Conclusion**:
- Since the sum of the digits (35) is not divisible by 9, we conclude that the number 459827 is also not divisible by 9.

### Final Answer:
The number 459827 is **not divisible by 9**.