For number N=35700, find
(i) number of divisors
(ii) number of proper divisors
(iii) number of even divisors
(iv) number of odd divisors
(v) sum of all divisors

Explanation

To solve the problem step by step, we will first find the prime factorization of the number \( N = 35700 \).

### Step 1: Prime Factorization
We start by factorizing \( 35700 \):
\[ 35700 = 357 \times 100 \]
\[
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