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82135575 = 32521919213
BaseRepresentation
bin1001110010101…
…00101000010111
312201112220211100
410321110220113
5132011314300
612052241143
72015066214
oct471245027
9181486740
1082135575
11423aa745
12236101b3
131402a442
14aca0b0b
157326700
hex4e54a17

82135575 has 36 divisors (see below), whose sum is σ = 154864840. Its totient is φ = 41497920.

The previous prime is 82135561. The next prime is 82135579. The reversal of 82135575 is 57553128.

82135575 is a `hidden beast` number, since 82 + 1 + 3 + 5 + 575 = 666.

It is not a de Polignac number, because 82135575 - 210 = 82134551 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82135579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5332 + ... + 13881.

Almost surely, 282135575 is an apocalyptic number.

82135575 is a deficient number, since it is larger than the sum of its proper divisors (72729265).

82135575 is a wasteful number, since it uses less digits than its factorization.

82135575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19248 (or 19240 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 82135575 is about 9062.8679235659. The cubic root of 82135575 is about 434.6874488879.

The spelling of 82135575 in words is "eighty-two million, one hundred thirty-five thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 475 855 1425 4275 19213 57639 96065 172917 288195 365047 480325 864585 1095141 1440975 1825235 3285423 4322925 5475705 9126175 16427115 27378525 82135575