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A function f:N→Nf : \mathbb {N \to N}f:N→N satisfies f(xy)=f(x)+f(y)f(xy) = f(x) + f(y)f(xy)=f(x)+f(y), f(12)=24f(12) = 24f(12)=24 and f(8)=15f(8) = 15f(8)=15 for all x,y∈Nx, y \in \mathbb Nx,y∈N.
Find the value of f(48)f(48)f(48).
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