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82188027 = 345711777
BaseRepresentation
bin1001110011000…
…01011011111011
312201122120210000
410321201123323
5132020004102
612053324043
72015405145
oct471413373
9181576700
1082188027
1142436099
1223636623
131404828c
14acb5c95
15733701c
hex4e616fb

82188027 has 20 divisors (see below), whose sum is σ = 123058936. Its totient is φ = 54665280.

The previous prime is 82188019. The next prime is 82188031. The reversal of 82188027 is 72088128.

It is not a de Polignac number, because 82188027 - 23 = 82188019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82187982 and 82188000.

It is not an unprimeable number, because it can be changed into a prime (82188427) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45363 + ... + 47139.

Almost surely, 282188027 is an apocalyptic number.

82188027 is a deficient number, since it is larger than the sum of its proper divisors (40870909).

82188027 is a wasteful number, since it uses less digits than its factorization.

82188027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 82188027 is about 9065.7612476835. The cubic root of 82188027 is about 434.7799600576.

The spelling of 82188027 in words is "eighty-two million, one hundred eighty-eight thousand, twenty-seven".

Divisors: 1 3 9 27 81 571 1713 1777 5139 5331 15417 15993 46251 47979 143937 1014667 3044001 9132003 27396009 82188027