Number of the day: 49928

Properties of the number 49928:

49928 = 2³ × 79² 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 = 12483² - 12481² = 6243² - 6239² = 237² - 79² is the difference of 2 nonnegative squares in 3 ways.
49928 = 158² + 158² is the sum of 2 positive squares in 1 way.
49928 = 10² + 48² + 218² is the sum of 3 positive squares.
49928² is the sum of 3 positive squares.
49928 is a divisor of 491²⁶ - 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.