Saturday, January 26, 2019

Number of the day: 64913

Properties of the number 64913:

64913 is a cyclic number.
64913 = 139 × 467 is semiprime and squarefree.
64913 has 2 distinct prime factors, 4 divisors, 21 antidivisors and 64308 totatives.
64913 has a prime digit sum 23 in base 10.
Reversing the decimal digits of 64913 results in an emirpimes.
64913 = 324572 - 324562 = 3032 - 1642 is the difference of 2 nonnegative squares in 2 ways.
64913 is the difference of 2 positive pentagonal numbers in 1 way.
64913 = 62 + 192 + 2542 is the sum of 3 positive squares.
649132 is the sum of 3 positive squares.
64913 is a proper divisor of 186746 - 1.
64913 = '6491' + '3' is the concatenation of 2 prime numbers.
64913 is an emirpimes in (at least) the following bases: 2, 6, 7, 10, 11, 12, 16, 23, 26, 28, 29, 30, 31, 32, 34, 35, 37, 38, 39, 41, 44, 47, 53, 55, 58, 63, 64, 65, 67, 82, 87, 90, 91, 96, 98, 99, and 100.

The number 64913 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A095941: Number of subsets of {1,2,...,n} such that every number in the set is no larger than the sum of the other numbers in the set.
A104174: Numerator of the fractional part of a harmonic number.
A119520: The first 10 digits of the fifth root of n contain the digits 0-9.
A164470: Number of binary strings of length n with no substrings equal to 0001 0101 or 0111

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