The maximum number of baskets is the largest divisor of N not exceeding (1 + sqrt(1 + 8N))/2.
Sur la distribution des z ´eros de la fonction ζ(s) et ses cons´equences arithm´etiques
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The Apple Pear Basket Problem: A Combinatorial Exploration
The maximum number of baskets is the largest divisor of N not exceeding (1 + sqrt(1 + 8N))/2.