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82095233 = 1123971709
BaseRepresentation
bin1001110010010…
…10110010000001
312201110212111012
410321022302001
5132004021413
612051330305
72014540463
oct471126201
9181425435
1082095233
1142382400
12235b0995
1314014c7c
14ac90133
1573197a8
hex4e4ac81

82095233 has 12 divisors (see below), whose sum is σ = 90517140. Its totient is φ = 74400480.

The previous prime is 82095197. The next prime is 82095239. The reversal of 82095233 is 33259028.

It can be written as a sum of positive squares in 2 ways, for example, as 34374769 + 47720464 = 5863^2 + 6908^2 .

It is not a de Polignac number, because 82095233 - 214 = 82078849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82095233.

It is not an unprimeable number, because it can be changed into a prime (82095239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47183 + ... + 48891.

It is an arithmetic number, because the mean of its divisors is an integer number (7543095).

Almost surely, 282095233 is an apocalyptic number.

It is an amenable number.

82095233 is a deficient number, since it is larger than the sum of its proper divisors (8421907).

82095233 is a wasteful number, since it uses less digits than its factorization.

82095233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 82095233 is about 9060.6419750479. The cubic root of 82095233 is about 434.6162696906.

It can be divided in two parts, 82095 and 233, that added together give a palindrome (82328).

The spelling of 82095233 in words is "eighty-two million, ninety-five thousand, two hundred thirty-three".

Divisors: 1 11 121 397 1709 4367 18799 48037 206789 678473 7463203 82095233