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82156095 = 32572193753
BaseRepresentation
bin1001110010110…
…01101000111111
312201120221222100
410321121220333
5132012443340
612052520143
72015213100
oct471315077
9181527870
1082156095
11424140aa
1223620053
1314036898
14aca83a7
15732c830
hex4e59a3f

82156095 has 144 divisors (see below), whose sum is σ = 182463840. Its totient is φ = 33965568.

The previous prime is 82156093. The next prime is 82156103. The reversal of 82156095 is 59065128.

It is a happy number.

82156095 is a `hidden beast` number, since 8 + 2 + 1 + 560 + 95 = 666.

It is a Cunningham number, because it is equal to 90642-1.

It is not a de Polignac number, because 82156095 - 21 = 82156093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82156093) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1550089 + ... + 1550141.

It is an arithmetic number, because the mean of its divisors is an integer number (1267110).

Almost surely, 282156095 is an apocalyptic number.

82156095 is an abundant number, since it is smaller than the sum of its proper divisors (100307745).

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

82156095 is a wasteful number, since it uses less digits than its factorization.

82156095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 82156095 is about 9063.9999448367. Note that the first 4 decimals coincide. The cubic root of 82156095 is about 434.7236453178.

The spelling of 82156095 in words is "eighty-two million, one hundred fifty-six thousand, ninety-five".

Divisors: 1 3 5 7 9 15 19 21 35 37 45 49 53 57 63 95 105 111 133 147 159 171 185 245 259 265 285 315 333 371 399 441 477 555 665 703 735 777 795 855 931 1007 1113 1197 1295 1665 1813 1855 1961 1995 2109 2205 2331 2385 2597 2793 3021 3339 3515 3885 4655 4921 5035 5439 5565 5883 5985 6327 7049 7791 8379 9063 9065 9805 10545 11655 12985 13727 13965 14763 15105 16317 16695 17649 21147 23373 24605 27195 29415 31635 34447 35245 37259 38955 41181 41895 44289 45315 49343 63441 68635 73815 81585 88245 96089 103341 105735 111777 116865 123543 148029 172235 186295 205905 221445 246715 260813 288267 310023 317205 335331 444087 480445 516705 558885 617715 740145 782439 864801 1304065 1441335 1550115 1676655 1825691 2220435 2347317 3912195 4324005 5477073 9128455 11736585 16431219 27385365 82156095