Number of the day: 93538

Charles Babbage was born on this day 227 years ago.

Properties of the number 93538:

93538 = 2 × 46769 is semiprime and squarefree.
93538 has 2 distinct prime factors, 4 divisors, 17 antidivisors and 46768 totatives.
93538 has a triangular digit sum 28 in base 10.
93538 has a triangular digit product 3240 in base 10.
Reversing the decimal digits of 93538 results in an emirpimes.
93538 = 6³ + 13³ + 45³ is the sum of 3 positive cubes in 1 way.
93538 is the sum of 2 positive triangular numbers.
93538 is the difference of 2 positive pentagonal numbers in 2 ways.
93538 = 73² + 297² is the sum of 2 positive squares in 1 way.
93538 = 28² + 135² + 273² is the sum of 3 positive squares.
93538² = 43362² + 82880² is the sum of 2 positive squares in 1 way.
93538² is the sum of 3 positive squares.
93538 is a proper divisor of 1213¹⁴⁸ - 1.
93538 = '93' + '538' is the concatenation of 2 emirpimes.
93538 is an emirpimes in (at least) the following bases: 5, 8, 10, 11, 19, 20, 26, 27, 30, 31, 32, 34, 35, 37, 38, 39, 44, 45, 49, 50, 51, 59, 60, 63, 64, 69, 70, 74, 75, 80, 85, 86, 90, 92, 96, 98, and 100.
93538 is palindromic in (at least) the following bases: 61, -16, -50, -78, and -87.
93538 in base 40 = 1III and consists of only the digits '1' and 'I'.
93538 in base 49 = ckk and consists of only the digits 'c' and 'k'.
93538 in base 60 = Pww and consists of only the digits 'P' and 'w'.
93538 in base 61 = P8P and consists of only the digits '8' and 'P'.

The number 93538 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A065455: Number of (binary) bit strings of length n in which no even block of 0's is followed by an odd block of 1's.
A109084: G.f. A(x) satisfies: A(x) = 1/G000041(x/A(x)) where G000041(x) is the g.f. of the partition numbers A000041.
A212830: Number of 0..n arrays of length n+1 with no adjacent pair equal to its immediately preceding adjacent pair, and new values introduced in 0..n order
A296918: List of coefficients of reduced chromatic polynomial of dodecahedron, highest order terms first.