A square concrete pile of 10 m length is driven into a deep layer of uniform homogeneous clay. Average unconfined compressive strength of the clay, determined through laboratory tests on undisturbed samples extracted from the clay layer, is 100 kPa. If the ultimate compressive load capacity of the driven pile is 632 kN, the required width of the pile is \(\underline{\hspace{2cm}}\) mm. (in integer)
(Bearing capacity factor \( N_c = 9 \), adhesion factor \( \alpha = 0.7 \))