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# 44

Please do not rely on any information it contains.

44 is an integer. It is the number of derangements of five items.

## Membership in core sequences

 Even numbers ..., 38, 40, 42, 44, 46, 48, 50, ... A005843 Composite numbers ..., 39, 40, 42, 44, 45, 46, 48, ... A002808

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## Roots and powers of 42

In the table below, irrational numbers are given truncated to eight decimal places.

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## Factorization of some small integers in a quadratic integer ring adjoining the square roots of −44, 44

As 44 is not squarefree, [FINISH WRITING]

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TABLE GOES HERE

## Representation of 44 in various bases

 Base 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Representation 101100 1122 230 134 112 62 54 48 44 40 38 35 32 2E 2C 2A 28 26 24

Note that, besides decimal, 44 is nontrivially palindromic only in bases 21 and 43.

 ${\displaystyle -1}$ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1729