Number of the day: 90538

Properties of the number 90538:

90538 = 2 × 7 × 29 × 223 is the 81771^th composite number and is squarefree.
90538 has 4 distinct prime factors, 16 divisors, 17 antidivisors and 37296 totatives.
90538 has a semiprime digit sum 25 in base 10.
90538 is the sum of 2 positive triangular numbers.
90538 is the difference of 2 positive pentagonal numbers in 5 ways.
90538 = 9² + 76² + 291² is the sum of 3 positive squares.
90538² = 62440² + 65562² is the sum of 2 positive squares in 1 way.
90538² is the sum of 3 positive squares.
90538 is a proper divisor of 853¹² - 1.
90538 = '905' + '38' is the concatenation of 2 semiprime numbers.
90538 is palindromic in (at least) the following bases: 92, -67, -85, and -96.

The number 90538 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A276901: Number of positive walks with n steps {-3,-2,-1,1,2,3} starting at the origin, ending at altitude 2, and staying strictly above the x-axis.
A278183: Number of n X 2 0..3 arrays with every element plus 1 mod 4 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero.
A278188: T(n,k)=Number of nXk 0..3 arrays with every element plus 1 mod 4 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero.