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82005192 = 23321138961
BaseRepresentation
bin1001110001101…
…00110011001000
312201022021222100
410320310303020
5131443131232
612045353400
72014014123
oct470646310
9181267870
1082005192
1142320795
1223568860
1313cb2ca9
14ac693ba
1572ecc7c
hex4e34cc8

82005192 has 24 divisors (see below), whose sum is σ = 222097590. Its totient is φ = 27335040.

The previous prime is 82005179. The next prime is 82005211. The reversal of 82005192 is 29150028.

It can be written as a sum of positive squares in only one way, i.e., 81974916 + 30276 = 9054^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 569409 + ... + 569552.

Almost surely, 282005192 is an apocalyptic number.

It is an amenable number.

82005192 is an abundant number, since it is smaller than the sum of its proper divisors (140092398).

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

82005192 is a wasteful number, since it uses less digits than its factorization.

82005192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138973 (or 1138966 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 82005192 is about 9055.6718138413. The cubic root of 82005192 is about 434.4573177117.

The spelling of 82005192 in words is "eighty-two million, five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1138961 2277922 3416883 4555844 6833766 9111688 10250649 13667532 20501298 27335064 41002596 82005192