### Properties of the number 49928:

49928 = 2^{3}× 79

^{2}is the 44801

^{th}composite number and is not squarefree.

49928 has 2 distinct prime factors, 12 divisors, 26 antidivisors and 24648 totatives.

Reversing the decimal digits of 49928 results in a sphenic number.

49928 = 12483

^{2}- 12481

^{2}= 6243

^{2}- 6239

^{2}= 237

^{2}- 79

^{2}is the difference of 2 nonnegative squares in 3 ways.

49928 = 158

^{2}+ 158

^{2}is the sum of 2 positive squares in 1 way.

49928 = 10

^{2}+ 48

^{2}+ 218

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

49928

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

49928 is a divisor of 491

^{26}- 1.

49928 is palindromic in (at least) the following bases: 38, 59, 78, and -80.

49928 in base 38 = YLY and consists of only the digits 'L' and 'Y'.

49928 in base 39 = WW8 and consists of only the digits '8' and 'W'.

49928 in base 40 = V88 and consists of only the digits '8' and 'V'.

49928 in base 58 = Emm and consists of only the digits 'E' and 'm'.

49928 in base 59 = EKE and consists of only the digits 'E' and 'K'.

### The number 49928 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A134507: Number of rectangles in a pyramid built with squares. The squares counted in A092498 are excluded.

A149233: Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 1, -1), (1, 0, -1), (1, 1, 1)}

A166987: Members of A143610 for which both neighbors are squarefree.

A181274: T(n,k)=Number of nXk binary matrices M with rows in strictly increasing order and rows of M*Mtranspose (mod 2) in strictly decreasing order

A181279: Number of 3Xn binary matrices M with rows in strictly increasing order and rows of M*Mtranspose (mod 2) in strictly decreasing order

A188484: Numbers n (other than powers of 2) such that abs(abundance(n)) is an odd square.

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