Number of the day: 49126

Properties of the number 49126:

49126 = 2 × 7 × 11² × 29 is the 44075^th composite number and is not squarefree.
49126 has 4 distinct prime factors, 24 divisors, 19 antidivisors and 18480 totatives.
49126 has a semiprime digit sum 22 in base 10.
49126 is the sum of 2 positive triangular numbers.
49126 is the difference of 2 positive pentagonal numbers in 5 ways.
49126 = 6² + 79² + 207² is the sum of 3 positive squares.
49126² = 33880² + 35574² is the sum of 2 positive squares in 1 way.
49126² is the sum of 3 positive squares.
49126 is a proper divisor of 1451⁶ - 1.
49126 is palindromic in (at least) the following bases: -42, -48, and -82.
49126 in base 47 = MBB and consists of only the digits 'B' and 'M'.

The number 49126 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A204554: Permanent of the n-th principal submatrix of A204553.
A208838: Number of nX6 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 1 0 vertically
A208840: T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 1 0 vertically
A208842: Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 1 0 vertically