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82144068 = 223171921193
BaseRepresentation
bin1001110010101…
…10101101000100
312201120100110220
410321112231010
5132012102233
612052344340
72015133036
oct471265504
9181510426
1082144068
1142406066
12236150b0
1314031276
14aca3c56
157328eb3
hex4e56b44

82144068 has 48 divisors (see below), whose sum is σ = 213635520. Its totient is φ = 24413184.

The previous prime is 82144067. The next prime is 82144093. The reversal of 82144068 is 86044128.

It is not an unprimeable number, because it can be changed into a prime (82144067) 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 15 ways as a sum of consecutive naturals, for example, 6721 + ... + 14472.

It is an arithmetic number, because the mean of its divisors is an integer number (4450740).

Almost surely, 282144068 is an apocalyptic number.

It is an amenable number.

82144068 is an abundant number, since it is smaller than the sum of its proper divisors (131491452).

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

82144068 is a wasteful number, since it uses less digits than its factorization.

82144068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21236 (or 21234 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 82144068 is about 9063.3364717415. The cubic root of 82144068 is about 434.7024309192.

The spelling of 82144068 in words is "eighty-two million, one hundred forty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 3876 21193 42386 63579 84772 127158 254316 360281 402667 720562 805334 1080843 1208001 1441124 1610668 2161686 2416002 4323372 4832004 6845339 13690678 20536017 27381356 41072034 82144068