Problem #PRU-5245

Problem

The prime factorization of the number $b$ is $2\times 5^2\times 7\times {13}^2\times 17$. The prime factorization of the number $c$ is $2^2\times 5\times 7^2\times 13$. Is the first number divisible by the second one? Is the product of these two numbers, $b\times c$, divisible by $49000$?