The number $2918245$ is divisible by which of the following numbers?

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**Solution:**

1. **Check divisibility by 3 and 9:**
   - Sum of digits of $2918245$ is $2 + 9 + 1 + 8 + 2 + 4 + 5 = 31$.
   - Since $31$ is not divisible by $3$ or $9$, the number is not divisible by $3$ or $9$.

2. **Check divisibility by 12:**
   - A number is divisible by $12$ if it is divisible by both $3$ and $4$.
   - Since it is not divisible by $3$, it cannot be divisible by $12$.

3. **Check divisibility by 11:**
   - Sum of digits at odd places (from right): $5 + 2 + 1 + 2 = 10$.
   - Sum of digits at even places (from right): $4 + 8 + 9 = 21$.
   - Difference: $21 - 10 = 11$.
   - Since $11$ is divisible by $11$, the number is divisible by $11$.

**Answer:** The number $2918245$ is divisible by $11$ only.

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