Number of the day: 7828

Properties of the number 7828:

7828 is the 1892^th totient number.
7828 = 2² × 19 × 103 is the 6838^th composite number and is not squarefree.
7828 has 3 distinct prime factors, 12 divisors, 15 antidivisors and 3672 totatives.
7828 has a semiprime digit sum 25 in base 10.
Reversing the decimal digits of 7828 results in a prime.
7828 = 1958² - 1956² = 122² - 84² is the difference of 2 nonnegative squares in 2 ways.
7828 is the sum of 2 positive triangular numbers.
7828 is the difference of 2 positive pentagonal numbers in 2 ways.
7828 = 14² + 24² + 84² is the sum of 3 positive squares.
7828² is the sum of 3 positive squares.
7828 is a proper divisor of 571⁶ - 1.
7828 = '78' + '28' is the concatenation of 2 triangular numbers.
7828 is palindromic in (at least) the following bases: 33, -48, and -86.
7828 in base 12 = 4644 and consists of only the digits '4' and '6'.
7828 in base 32 = 7kk and consists of only the digits '7' and 'k'.
7828 in base 33 = 767 and consists of only the digits '6' and '7'.
7828 in base 39 = 55S and consists of only the digits '5' and 'S'.
7828 in base 62 = 22G and consists of only the digits '2' and 'G'.

The number 7828 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A064914: Number of ordered biquanimous partitions of 2n.
A076066: Sums of members of groups in A076063.
A100182: Structured tetragonal anti-prism numbers.
A132432: Number of different values of i^2+j^2+k^2+l^2+m^2 for i,j,k,l,m in [0,n].
A172449: Number of ways to place 8 nonattacking queens on an 8 X n board.
A225414: Ordered counts of internal lattice points within primitive Pythagorean triangles (PPT).
A271454: Number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 371", based on the 5-celled von Neumann neighborhood.
A273161: a(n) = Sum_{k=1..n} C(n-k, floor((n-k)/k)).
A283213: Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 595", based on the 5-celled von Neumann neighborhood.
A319284: The profiles of the backtrack tree for the n queens problem, triangle read by rows.