Number of the day: 29815

Properties of the number 29815:

29815 is a cyclic number.
29815 = 5 × 67 × 89 is a sphenic number and squarefree.
29815 has 3 distinct prime factors, 8 divisors, 21 antidivisors and 23232 totatives.
29815 has a semiprime digit sum 25 in base 10.
29815 = 14908² - 14907² = 2984² - 2979² = 256² - 189² = 212² - 123² is the difference of 2 nonnegative squares in 4 ways.
29815 is the difference of 2 positive pentagonal numbers in 3 ways.
29815 is not the sum of 3 positive squares.
29815² = 13065² + 26800² = 5628² + 29279² = 13601² + 26532² = 17889² + 23852² is the sum of 2 positive squares in 4 ways.
29815² is the sum of 3 positive squares.
29815 is a proper divisor of 461¹¹ - 1.
29815 = '298' + '15' is the concatenation of 2 semiprime numbers.
29815 is palindromic in (at least) the following bases: 39, 43, and -69.
29815 in base 16 = 7477 and consists of only the digits '4' and '7'.
29815 in base 39 = JNJ and consists of only the digits 'J' and 'N'.
29815 in base 42 = Gbb and consists of only the digits 'G' and 'b'.
29815 in base 43 = G5G and consists of only the digits '5' and 'G'.

The number 29815 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A034858: a(n) = C(n+3,4) + 3*C(n+1,3) + 5*C(n-1,2) + 7*n - 15.
A034859: a(n) = C(n+3,4) + 3*C(n+1,3) + 5*C(n-1,2) + 7*n - 15 for n >= 3; a(1)=1, a(2)=10.
A184261: Number of strings of numbers x(i=1..6) in 0..n with sum i^3*x(i) equal to 216*n
A269874: Partial sums of the number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 41", based on the 5-celled von Neumann neighborhood.