# 8. Problem $8^{*}$

A natural number $\mathrm{N}$ ends in 5. Ninth-grader Dima found all its divisors and discovered that the sum of the two largest proper divisors does not divide evenly by the sum of the two smallest proper divisors. Find the smallest possible value of the number N. A divisor of a natural number is called proper if it is different from 1 and the number itself. Points for the problem: 13.

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# 8. Problem $\mathbf{8}^{2}$

A natural number $\mathrm{N}$ ends with 5. Ninth-grader Dima found all its divisors and noticed that the sum of the two largest proper divisors does not divide evenly by the sum of the two smallest proper divisors. Find the smallest possible value of the number N. A divisor of a natural number is called proper if it is different from 1 and the number itself. Points for the problem: 13.

## Answer: 725