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82082034 = 23210314423
BaseRepresentation
bin1001110010001…
…11100011110010
312201110012101100
410321013203302
5132003111114
612051145230
72014454136
oct471074362
9181405340
1082082034
11423734a1
12235a5216
131400bc68
14ac893c6
157315909
hex4e478f2

82082034 has 24 divisors (see below), whose sum is σ = 178057152. Its totient is φ = 27327960.

The previous prime is 82082023. The next prime is 82082051. The reversal of 82082034 is 43028028.

It is a super-3 number, since 3×820820343 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82081989 and 82082007.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16347 + ... + 20769.

It is an arithmetic number, because the mean of its divisors is an integer number (7419048).

Almost surely, 282082034 is an apocalyptic number.

82082034 is an abundant number, since it is smaller than the sum of its proper divisors (95975118).

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

82082034 is a wasteful number, since it uses less digits than its factorization.

82082034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82082034 is about 9059.9135757467. The cubic root of 82082034 is about 434.5929763868.

The spelling of 82082034 in words is "eighty-two million, eighty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 1031 2062 3093 4423 6186 8846 9279 13269 18558 26538 39807 79614 4560113 9120226 13680339 27360678 41041017 82082034