Saturday, February 11, 2017

Number of the day: 35915

Properties of the number 35915:

35915 = 5 × 11 × 653 is a sphenic number and squarefree.
35915 has 3 distinct prime factors, 8 divisors, 19 antidivisors and 26080 totatives.
35915 has a prime digit sum 23 in base 10.
Reversing the decimal digits of 35915 results in a semiprime.
35915 = 192 + … + 482 is the sum of at least 2 consecutive positive squares in 1 way.
35915 = 179582 - 179572 = 35942 - 35892 = 16382 - 16272 = 3542 - 2992 is the difference of 2 nonnegative squares in 4 ways.
35915 is the difference of 2 positive pentagonal numbers in 4 ways.
35915 = 52 + 132 + 1892 is the sum of 3 positive squares.
359152 = 215492 + 287322 = 50162 + 355632 = 147732 + 327362 = 173252 + 314602 is the sum of 2 positive squares in 4 ways.
359152 is the sum of 3 positive squares.
35915 is a divisor of 14920 - 1.
35915 is palindromic in (at least) the following bases: -50, and -90.
35915 in base 33 = wwb and consists of only the digits 'b' and 'w'.
35915 in base 39 = NNZ and consists of only the digits 'N' and 'Z'.

The number 35915 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A037279: If n is composite, replace n by the concatenation of its proper divisors, otherwise a(n) = n.
A037280: If n is composite replace n by the concatenation of its nontrivial divisors [ A037279 ] then divide out any factors of 2.
A037285: Replace n by concatenation of its nontrivial odd divisors.
A037288: Replace 2n+1 by concatenation of its nontrivial divisors.
A106708: Replace n by the concatenation of its proper divisors (a(n) = 0 unless n is composite).

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