Wednesday, January 10, 2018

Number of the day: 65295

Properties of the number 65295:

65295 = 32 × 5 × 1451 is the 58771th composite number and is not squarefree.
65295 has 3 distinct prime factors, 12 divisors, 13 antidivisors and 34800 totatives.
65295 = 233 + 243 + 343 is the sum of 3 positive cubes in 1 way.
65295 = 326482 - 326472 = 108842 - 108812 = 65322 - 65272 = 36322 - 36232 = 21842 - 21692 = 7482 - 7032 is the difference of 2 nonnegative squares in 6 ways.
65295 is the difference of 2 positive pentagonal numbers in 2 ways.
65295 is not the sum of 3 positive squares.
652952 = 391772 + 522362 is the sum of 2 positive squares in 1 way.
652952 is the sum of 3 positive squares.
65295 is a proper divisor of 73910 - 1.
65295 = '6529' + '5' is the concatenation of 2 prime numbers.
65295 = '65' + '295' is the concatenation of 2 semiprime numbers.
65295 is palindromic in (at least) the following bases: 49, 64, 76, 81, and -68.
65295 in base 4 = 33330033 and consists of only the digits '0' and '3'.
65295 in base 16 = ff0f and consists of only the digits '0' and 'f'.
65295 in base 49 = R9R and consists of only the digits '9' and 'R'.

The number 65295 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A097262: Numbers whose set of base 16 digits is {0,F}, where F base 16 = 15 base 10.
A243579: Integers of the form 8k+7 that can be written as a sum of four distinct squares of the form m, m+2, m+4, m+5, where m == 1 (mod 4).
A289533: Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 587", based on the 5-celled von Neumann neighborhood.

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