Sunday, October 9, 2016

Number of the day: 59378

Properties of the number 59378:

59378 = 2 × 11 × 2699 is a sphenic number and squarefree.
59378 has 3 distinct prime factors, 8 divisors, 49 antidivisors and 26980 totatives.
59378 is the difference of 2 positive pentagonal numbers in 2 ways.
59378 = 12 + 362 + 2412 is the sum of 3 positive squares.
593782 is the sum of 3 positive squares.
59378 is a divisor of 4338 - 1.
59378 is palindromic in (at least) the following bases: 56, and -77.
59378 in base 56 = IqI and consists of only the digits 'I' and 'q'.

The number 59378 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A102296: (1/6)(n+1)(10n^2+17n+12).
A122182: Least positive number k such that 2^k mod k = 2n, or 0 if no such k exists.

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