Number of the day: 2553

Properties of the number 2553:

2553 = 3 × 23 × 37 is a sphenic number and squarefree.
2553 has 3 distinct prime factors, 8 divisors, 9 antidivisors and 1584 totatives.
2553 has an emirpimes digit sum 15 in base 10.
2553 has a triangular digit sum 15 in base 10.
2553 = 1277² - 1276² = 427² - 424² = 67² - 44² = 53² - 16² is the difference of 2 nonnegative squares in 4 ways.
2553 is the difference of 2 positive pentagonal numbers in 1 way.
2553 = 2² + 7² + 50² is the sum of 3 positive squares.
2553² = 828² + 2415² is the sum of 2 positive squares in 1 way.
2553² is the sum of 3 positive squares.
2553 is a proper divisor of 919⁴ - 1.
2553 is palindromic in (at least) the following bases: 2, 16, 19, 44, 68, -30, -34, -58, and -88.
2553 in base 11 = 1a11 and consists of only the digits '1' and 'a'.
2553 in base 16 = 9f9 and consists of only the digits '9' and 'f'.
2553 in base 18 = 7ff and consists of only the digits '7' and 'f'.
2553 in base 19 = 717 and consists of only the digits '1' and '7'.
2553 in base 29 = 311 and consists of only the digits '1' and '3'.
2553 in base 35 = 22x and consists of only the digits '2' and 'x'.
2553 in base 43 = 1GG and consists of only the digits '1' and 'G'.
2553 in base 44 = 1E1 and consists of only the digits '1' and 'E'.
2553 in base 50 = 113 and consists of only the digits '1' and '3'.

The number 2553 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A001891: Hit polynomials; convolution of natural numbers with Fibonacci numbers F(2), F(3), F(4),....
A007853: Number of maximal antichains in rooted plane trees on n nodes.
A008778: a(n) = (n+1)*(n^2+8n+6)/6. Number of n-dimensional partitions of 4. Number of terms in 4th derivative of a function composed with itself n times.
A048701: List of binary palindromes of even length (written in base 10).
A051624: 12-gonal (or dodecagonal) numbers: a(n) = n*(5*n-4).
A056108: Fourth spoke of a hexagonal spiral.
A063489: a(n) = (2*n-1)*(5*n^2-5*n+6)/6.
A071355: a(n) = 2*n^2 + 11*n + 12.
A195162: Generalized 12-gonal numbers: k*(5*k-4) for k = 0, +-1, +-2, ...
A299285: Coordination sequence for "tea" 3D uniform tiling.