Number of the day: 4449

Joseph-Louis Lagrange was born on this day 282 years ago.

Properties of the number 4449:

4449 = 3 × 1483 is semiprime and squarefree.
4449 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 2964 totatives.
4449 has a semiprime digit sum 21 in base 10.
4449 has a Fibonacci digit sum 21 in base 10.
4449 has a triangular digit sum 21 in base 10.
4449 = 2225² - 2224² = 743² - 740² is the difference of 2 nonnegative squares in 2 ways.
4449 is the sum of 2 positive triangular numbers.
4449 is the difference of 2 positive pentagonal numbers in 1 way.
4449 = 8² + 17² + 64² is the sum of 3 positive squares.
4449² is the sum of 3 positive squares.
4449 is a proper divisor of 577¹³ - 1.
4449 is an emirpimes in (at least) the following bases: 3, 5, 6, 9, 13, 14, 18, 20, 21, 22, 24, 28, 31, 37, 39, 48, 49, 50, 52, 54, 59, 60, 63, 73, 77, 78, 79, 85, 86, 91, 96, 97, and 98.
4449 is palindromic in (at least) the following bases: 38, -4, -35, and -39.
4449 in base 6 = 32333 and consists of only the digits '2' and '3'.
4449 consists of only the digits '4' and '9'.
4449 in base 16 = 1161 and consists of only the digits '1' and '6'.
4449 in base 18 = dd3 and consists of only the digits '3' and 'd'.
4449 in base 37 = 399 and consists of only the digits '3' and '9'.
4449 in base 38 = 333 and consists of only the digit '3'.

The number 4449 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A003294: Numbers n such that n^4 can be written as a sum of four positive 4th powers.
A010919: Pisot sequence T(4,13), a(n) = floor(a(n-1)^2/a(n-2)).
A053445: Second differences of partition numbers A000041.
A096739: Numbers n such that n^4 can be written as a sum of four distinct positive 4th powers.
A107342: Semiprimes with semiprime digits (digits 4, 6, 9 only).
A107665: Numbers with semiprime digits (digits 4, 6, 9 only).
A112472: Number of partitions of n which represent first player winning Chomp positions with unique winning moves.
A160644: First of two sequences bisecting the second differences of the partition numbers (see A053445).
A188948: Values of x such that x^2 + y^2 = 13^n with x and y coprime and 0 < x < y.
A292734: Numbers in which 4 outnumbers all other digits together.