Tuesday, October 18, 2016

Number of the day: 58959

Properties of the number 58959:

58959 = 32 × 6551 is the 53000th composite number and is not squarefree.
58959 has 2 distinct prime factors, 6 divisors, 7 antidivisors and 39300 totatives.
58959 has a triangular digit sum 36 in base 10.
58959 = 294802 - 294792 = 98282 - 98252 = 32802 - 32712 is the difference of 2 nonnegative squares in 3 ways.
58959 is the sum of 2 positive triangular numbers.
58959 is the difference of 2 positive pentagonal numbers in 1 way.
58959 is not the sum of 3 positive squares.
589592 is the sum of 3 positive squares.
58959 is a divisor of 149350 - 1.
58959 = '58' + '959' is the concatenation of 2 semiprime numbers.
58959 is palindromic in (at least) the following bases: 42, and -64.
58959 in base 20 = 777j and consists of only the digits '7' and 'j'.
58959 in base 42 = XHX and consists of only the digits 'H' and 'X'.

The number 58959 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A013111: arctanh(arcsinh(x)+atan(x))=2*x+13/3!*x^3+561/5!*x^5+58959/7!*x^7...
A061294: a(n) = floor( n^Pi ).

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