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82303821 = 3223974099
BaseRepresentation
bin1001110011111…
…01101101001101
312201212110121200
410321331231031
5132032210241
612100020113
72016366555
oct471755515
9181773550
1082303821
1142505096
1223691639
1314088bb2
14ad06165
15735b4b6
hex4e7db4d

82303821 has 24 divisors (see below), whose sum is σ = 125361600. Its totient is φ = 51929856.

The previous prime is 82303811. The next prime is 82303841. The reversal of 82303821 is 12830328.

It is not a de Polignac number, because 82303821 - 26 = 82303757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82303811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18030 + ... + 22128.

It is an arithmetic number, because the mean of its divisors is an integer number (5223400).

Almost surely, 282303821 is an apocalyptic number.

It is an amenable number.

82303821 is a deficient number, since it is larger than the sum of its proper divisors (43057779).

82303821 is a wasteful number, since it uses less digits than its factorization.

82303821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 82303821 is about 9072.1453361374. The cubic root of 82303821 is about 434.9840501484.

The spelling of 82303821 in words is "eighty-two million, three hundred three thousand, eight hundred twenty-one".

Divisors: 1 3 9 23 69 97 207 291 873 2231 4099 6693 12297 20079 36891 94277 282831 397603 848493 1192809 3578427 9144869 27434607 82303821