MathNet 2024-part-04 — 168 problems (EN–VI) Question 3

Joah has a number of large pots with marbles in them. At the beginning of the week, all pots contain a different positive number of marbles. On the first day of the week, he adds one marble to each pot. On the second day, he adds a marble to all pots whose number of marbles is divisible by $2$. On the third day, he adds a marble to all pots whose number of marbles is divisible by $3$. He continues like this until the seventh day. Then it turns out that he has several pots with exactly $50$ marbles in them.
What is the maximum number of pots with exactly $50$ marbles that Joah could have?