Mathematics · Number System

Nandan had some marbles. When he distributed the marbles equally among 32 children, he found that 4 marbles were left. Had he distributed the marbles equally among 41 children and 48 children, he still would have had 13 and 20 marbles left with him, respectively. But when he distributed them equally among 53 children, no marble was left. The number of marbles that Nandan initially had may lie between __________.