14. (15 points) Distribute 530 books to 48 students. What is the minimum number of students who will receive the same number of books?
【Analysis】(1) If 48 students receive different numbers of books, then at least: $0+1+2+3+\cdots+47=1128>530$, which does not meet the condition;
(2) If only 2 students receive the same number of books, then at least: $(0+1+2+3+\cdots+23) \times 2=552>530$, which does not meet the condition;
(3) If only 3 students receive the same number of books, then at least: $(0+1+2+3+\cdots+15) \times 3=360<530$, which meets the condition;
(2) If only 2 students receive the same number of books, then at least: $(0+1+2+3+\cdots+23) \times 2=552>530$, which does not meet the condition;
(3) If only 3 students receive the same number of books, then at least: $(0+1+2+3+\cdots+15) \times 3=360<530$, which meets the condition;

Therefore, at least 3 students receive the same number of books.
Answer: At least 3 students receive the same number of books.