# Sum of Some Squared Divisors

Let $$1 = d_1 < d_2 < \ldots < d_k =N$$ be all the divisors of $$N$$ arranged in increasing order. Given that $$N = d_1 ^2 + d_2 ^2 + d_3 ^2 + d_4 ^2$$, determine $$N$$.

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