A045555 Numbers n such that final 2 nonzero digits of n! are '24'.

4, 37, 49, 52, 58, 69, 75, 76, 87, 117, 179, 205, 277, 289, 307, 321, 339, 383, 394, 409, 411, 416, 425, 426, 461, 468, 493, 512, 546, 563, 621, 645, 648, 717, 724, 725, 726, 759, 760, 766, 780, 807, 821, 827, 831