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A square footing of $2 \: m$ sides rests on the surface of a homogeneous soil bed having the properties: cohesion $c= 24 \: kPa$, angle of internal friction $\phi = 25^{\circ}$, and unit weight $\gamma = 18 \: kN/m^3$. Terzaghi’s bearing capacity factors for $\phi=25^{\circ}$ are $N_c=25.1, \: N_q=12.7, \: N_{\gamma} =9.7, \: N_c’=14.8, \: N_q’=5.6$, and $N_{\gamma}’ =3.2$. The ultimate bearing capacity of the foundation (in $kPa$, round off to $2$ decimal places) is _________
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