Number of the day: 882

René Descartes was born on this day 423 years ago.

Properties of the number 882:

882 = 2 × 3² × 7² is the 729^th composite number and is not squarefree.
882 has 3 distinct prime factors, 18 divisors, 12 antidivisors and 252 totatives.
882 = 3³ + 7³ + 8³ is the sum of 3 positive cubes in 1 way.
882 is the sum of 2 positive triangular numbers.
882 = 21² + 21² is the sum of 2 positive squares in 1 way.
882 = 4² + 5² + 29² is the sum of 3 positive squares.
882² is the sum of 3 positive squares.
882 is a proper divisor of 197² - 1.
882 is palindromic in (at least) the following bases: 12, 20, 41, 48, 62, 97, and -22.
882 consists of only the digits '2' and '8'.
882 in base 12 = 616 and consists of only the digits '1' and '6'.
882 in base 19 = 288 and consists of only the digits '2' and '8'.
882 in base 20 = 242 and consists of only the digits '2' and '4'.
882 in base 21 = 200 and consists of only the digits '0' and '2'.
882 in base 29 = 11c and consists of only the digits '1' and 'c'.

The number 882 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000982: a(n) = ceiling(n^2/2).
A001105: a(n) = 2*n^2.
A002088: Sum of totient function: a(n) = Sum_{k=1..n} phi(k), cf. A000010.
A007590: a(n) = floor(n^2/2).
A014574: Average of twin prime pairs.
A028982: Squares and twice squares.
A046746: Sum of smallest parts of all partitions of n.
A276086: Digits in primorial base representation of n become the exponents of successive primes that are multiplied together: a(0)=1, a(n) = A053669(n)*a(A276151(n)).
A299256: Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 3.6.3.6 2D tiling (cf. A008579).
A299267: Partial sums of A299266.