Number of the day: 54914

Properties of the number 54914:

54914 = 2 × 27457 is semiprime and squarefree.
54914 has 2 distinct prime factors, 4 divisors, 5 antidivisors and 27456 totatives.
54914 has a prime digit sum 23 in base 10.
54914 has sum of divisors equal to 82374 which is a sphenic number.
Reversing the decimal digits of 54914 results in an emirpimes.
54914 = 25² + 233² is the sum of 2 positive squares in 1 way.
54914 = 23² + 32² + 231² is the sum of 3 positive squares.
54914² = 11650² + 53664² is the sum of 2 positive squares in 1 way.
54914² is the sum of 3 positive squares.
54914 is a proper divisor of 103¹¹ - 1.
54914 is an emirpimes in (at least) the following bases: 4, 6, 8, 9, 10, 13, 15, 16, 17, 19, 20, 22, 24, 25, 26, 29, 31, 34, 35, 37, 41, 43, 50, 55, 56, 63, 64, 69, 70, 76, 77, 78, 79, 81, 84, 86, 88, 91, 92, 95, 98, and 99.
54914 is palindromic in (at least) the following bases: 40, 61, -13, and -79.
54914 in base 40 = YCY and consists of only the digits 'C' and 'Y'.
54914 in base 60 = FFE and consists of only the digits 'E' and 'F'.
54914 in base 61 = EkE and consists of only the digits 'E' and 'k'.

The number 54914 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A188849: Number of nX7 binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally
A188851: T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally
A188852: Number of 3Xn binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally