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82515195 = 32571719811
BaseRepresentation
bin1001110101100…
…01010011111011
312202021012120100
410322301103323
5132110441240
612104330443
72021240040
oct472612373
9182235510
1082515195
1142639984
1223773a23
1314131179
14ad5d1c7
15739de30
hex4eb14fb

82515195 has 96 divisors (see below), whose sum is σ = 182407680. Its totient is φ = 33592320.

The previous prime is 82515187. The next prime is 82515299. The reversal of 82515195 is 59151528.

It is a happy number.

It is not a de Polignac number, because 82515195 - 23 = 82515187 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101340 + ... + 102150.

It is an arithmetic number, because the mean of its divisors is an integer number (1900080).

Almost surely, 282515195 is an apocalyptic number.

82515195 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82515195 is an abundant number, since it is smaller than the sum of its proper divisors (99892485).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82515195 is a wasteful number, since it uses less digits than its factorization.

82515195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 862 counting only the distinct ones).

The product of its digits is 18000, while the sum is 36.

The square root of 82515195 is about 9083.7874810015. The cubic root of 82515195 is about 435.3561095039.

The spelling of 82515195 in words is "eighty-two million, five hundred fifteen thousand, one hundred ninety-five".

Divisors: 1 3 5 7 9 15 17 19 21 35 45 51 57 63 85 95 105 119 133 153 171 255 285 315 323 357 399 595 665 765 811 855 969 1071 1197 1615 1785 1995 2261 2433 2907 4055 4845 5355 5677 5985 6783 7299 11305 12165 13787 14535 15409 17031 20349 28385 33915 36495 41361 46227 51093 68935 77045 85155 96509 101745 107863 124083 138681 206805 231135 255465 261953 289527 323589 482545 539315 620415 693405 785859 868581 970767 1309765 1447635 1617945 1833671 2357577 3929295 4342905 4853835 5501013 9168355 11787885 16503039 27505065 82515195