Tuesday, August 8, 2017

Number of the day: 82545

Properties of the number 82545:

82545 = 3 × 5 × 5503 is a sphenic number and squarefree.
82545 has 3 distinct prime factors, 8 divisors, 9 antidivisors and 44016 totatives.
82545 = 412732 - 412722 = 137592 - 137562 = 82572 - 82522 = 27592 - 27442 is the difference of 2 nonnegative squares in 4 ways.
82545 is the difference of 2 positive pentagonal numbers in 2 ways.
82545 = 172 + 402 + 2842 is the sum of 3 positive squares.
825452 = 495272 + 660362 is the sum of 2 positive squares in 1 way.
825452 is the sum of 3 positive squares.
82545 is a proper divisor of 9296 - 1.
82545 = '82' + '545' is the concatenation of 2 semiprime numbers.
82545 in base 14 = 22121 and consists of only the digits '1' and '2'.

The number 82545 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A255550: Main diagonal of array A255551.

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