Saturday, August 12, 2017

Number of the day: 58483

Properties of the number 58483:

58483 is a cyclic number.
58483 = 233 × 251 is semiprime and squarefree.
58483 has 2 distinct prime factors, 4 divisors, 15 antidivisors and 58000 totatives.
58483 has a triangular digit sum 28 in base 10.
Reversing the decimal digits of 58483 results in a sphenic number.
58483 = 292422 - 292412 = 2422 - 92 is the difference of 2 nonnegative squares in 2 ways.
58483 is the difference of 2 positive pentagonal numbers in 1 way.
58483 = 172 + 872 + 2252 is the sum of 3 positive squares.
584832 = 263552 + 522082 is the sum of 2 positive squares in 1 way.
584832 is the sum of 3 positive squares.
58483 is a proper divisor of 50329 - 1.
58483 is an emirpimes in (at least) the following bases: 5, 6, 8, 11, 14, 15, 16, 17, 20, 22, 25, 26, 27, 29, 33, 34, 38, 39, 41, 43, 46, 48, 50, 51, 54, 55, 56, 58, 59, 61, 64, 70, 72, 75, 76, 77, 81, 86, 87, 91, 92, and 99.
58483 is palindromic in (at least) the following bases: 45, 73, and -56.
58483 in base 45 = SdS and consists of only the digits 'S' and 'd'.
58483 in base 55 = JII and consists of only the digits 'I' and 'J'.

The number 58483 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A058518: Number of forests of B-trees of order 3 with n labeled leaves.
A069969: Numbers n such that phi(reverse(n)) = phi(reverse(n-1)) + phi(reverse(n-2)).
A249109: Composite numbers whose sum of aliquot parts divides the sum of the aliquot parts of the numbers less than or equal to n and not relatively prime to n.
A275251: Sequence of pairwise relatively prime numbers of class P_6 (see comment in A275246).

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