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Number of divisors of a number, excluding 1 and itself

The same question, asked 2 times: CDS 2 2018*, CDS 1 2022. Every wording below, oldest first.

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  1. Question 1

    CDS 2 2018

    7
    The number of divisors of the number 38808, exclusive of the divisors 1 and itself, is

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  2. Question 2

    CDS 1 2022

    35
    What is the number of divisors of 1000 (excluding 1 and 1000)?

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