Wednesday, September 27, 2017

Number of the day: 58200

Properties of the number 58200:

58200 = 23 × 3 × 52 × 97 is the 52305th composite number and is not squarefree.
58200 has 4 distinct prime factors, 48 divisors, 19 antidivisors and 15360 totatives.
58200 has an emirpimes digit sum 15 in base 10.
58200 has a triangular digit sum 15 in base 10.
58200 is the difference of 2 nonnegative squares in 12 ways.
58200 is the sum of 2 positive triangular numbers.
58200 is the difference of 2 positive pentagonal numbers in 1 way.
58200 = 202 + 342 + 2382 is the sum of 3 positive squares.
582002 = 390002 + 432002 = 52802 + 579602 = 111602 + 571202 = 305522 + 495362 = 253442 + 523922 = 349202 + 465602 = 162962 + 558722 is the sum of 2 positive squares in 7 ways.
582002 is the sum of 3 positive squares.
58200 is a proper divisor of 1934 - 1.
58200 in base 5 = 3330300 and consists of only the digits '0' and '3'.
58200 in base 22 = 5a5a and consists of only the digits '5' and 'a'.
58200 in base 58 = HHQ and consists of only the digits 'H' and 'Q'.

The number 58200 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A015578: Expansion of x/(1-8x-11x^2).
A018211: Alkane (or paraffin) numbers l(10,n).

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