  We study some divisibility properties of multiperfect numbers. Our main
result is: if $N=p_1^{\alpha_1}... p_s^{\alpha_s} q_1^{2\beta_1}...
q_t^{2\beta_t}$ with $\beta_1, ..., \beta_t$ in some finite set S satisfies
$\sigma(N)=\frac{n}{d}N$, then N has a prime factor smaller than C, where C is
an effective computable constant depending only on s, n, S.
