### Properties of the number 45171:

45171 = 3^{3}× 7 × 239 is the 40482

^{th}composite number and is not squarefree.

45171 has 3 distinct prime factors, 16 divisors, 23 antidivisors and 25704 totatives.

45171 = 22586

^{2}- 22585

^{2}= 7530

^{2}- 7527

^{2}= 3230

^{2}- 3223

^{2}= 2514

^{2}- 2505

^{2}= 1086

^{2}- 1065

^{2}= 850

^{2}- 823

^{2}= 390

^{2}- 327

^{2}= 214

^{2}- 25

^{2}is the difference of 2 nonnegative squares in 8 ways.

45171 is the sum of 2 positive triangular numbers.

45171 is the difference of 2 positive pentagonal numbers in 1 way.

45171 = 11

^{2}+ 79

^{2}+ 197

^{2}is the sum of 3 positive squares.

45171

^{2}is the sum of 3 positive squares.

45171 is a proper divisor of 757

^{17}- 1.

45171 = '45' + '171' is the concatenation of 2 triangular numbers.

45171 in base 42 = PPL and consists of only the digits 'L' and 'P'.

### The number 45171 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A031795: Period of continued fraction for sqrt(n) contains exactly 27 ones.

A050833: Numbers n such that 163*2^n-1 is a prime.

A095053: Number of primes with number of 1-bits equal to one plus number 0-bits (A095073) in range ]2^2n,2^(2n+1)].

A151350: Number of walks within N^2 (the first quadrant of Z^2) starting and ending at (0,0) and consisting of n steps taken from {(-1, -1), (-1, 0), (0, 1), (1, -1), (1, 1)}

A188381: Negabinary Keith numbers.

A241639: Number of partitions p of n such that (number of even numbers in p) >= (number of odd numbers in p).

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