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82593189 = 347295023
BaseRepresentation
bin1001110110001…
…00010110100101
312202102011120000
410323010112211
5132120440224
612110131513
72022013320
oct473042645
9182364500
1082593189
1142692538
12237b0b99
131415a813
14ad7d7b7
1573b70c9
hex4ec45a5

82593189 has 40 divisors (see below), whose sum is σ = 145896960. Its totient is φ = 45559584.

The previous prime is 82593187. The next prime is 82593197. The reversal of 82593189 is 98139528.

It is a happy number.

It is not a de Polignac number, because 82593189 - 21 = 82593187 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82593187) 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 39 ways as a sum of consecutive naturals, for example, 13932 + ... + 18954.

It is an arithmetic number, because the mean of its divisors is an integer number (3647424).

Almost surely, 282593189 is an apocalyptic number.

It is an amenable number.

82593189 is a deficient number, since it is larger than the sum of its proper divisors (63303771).

82593189 is a wasteful number, since it uses less digits than its factorization.

82593189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071 (or 5062 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 82593189 is about 9088.0795000924. The cubic root of 82593189 is about 435.4932336291.

The spelling of 82593189 in words is "eighty-two million, five hundred ninety-three thousand, one hundred eighty-nine".

Divisors: 1 3 7 9 21 27 29 63 81 87 189 203 261 567 609 783 1827 2349 5023 5481 15069 16443 35161 45207 105483 135621 145667 316449 406863 437001 949347 1019669 1311003 2848041 3059007 3933009 9177021 11799027 27531063 82593189