Number of the day: 41088

Properties of the number 41088:

41088 = 2⁷ × 3 × 107 is the 36787^th composite number and is not squarefree.
41088 has 3 distinct prime factors, 32 divisors, 15 antidivisors and 13568 totatives.
41088 has a semiprime digit sum 21 in base 10.
41088 has a Fibonacci digit sum 21 in base 10.
41088 has a triangular digit sum 21 in base 10.
Reversing the decimal digits of 41088 results in a sphenic number.
41088 is the difference of 2 nonnegative squares in 12 ways.
41088 is the difference of 2 positive pentagonal numbers in 1 way.
41088 = 8² + 32² + 200² is the sum of 3 positive squares.
41088² is the sum of 3 positive squares.
41088 is a divisor of 641² - 1.
41088 is palindromic in (at least) the following bases: 35, 82, and -43.
41088 in base 4 = 22002000 and consists of only the digits '0' and '2'.
41088 in base 35 = xix and consists of only the digits 'i' and 'x'.
41088 in base 42 = NCC and consists of only the digits 'C' and 'N'.
41088 in base 46 = JJA and consists of only the digits 'A' and 'J'.
41088 in base 58 = CCO and consists of only the digits 'C' and 'O'.

The number 41088 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A202048: Number of (n+2)X6 binary arrays avoiding patterns 001 and 110 in rows and columns
A202050: Number of (n+2)X8 binary arrays avoiding patterns 001 and 110 in rows and columns
A202052: T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 110 in rows and columns
A217202: Triangle read by rows, arising in enumeration of permutations by cyclic valleys, cycles and fixed points.
A217205: Triangle read by rows, related to Bell numbers A000110.
A252726: Number of (7+2)X(n+2) 0..3 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order