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82064316 = 22329317607
BaseRepresentation
bin1001110010000…
…11001110111100
312201102022002010
410321003032330
5132002024231
612050531220
72014351365
oct471031674
9181368063
1082064316
1142361154
1223596b10
1314003b89
14ac82b6c
157310546
hex4e433bc

82064316 has 48 divisors (see below), whose sum is σ = 204503040. Its totient is φ = 25556160.

The previous prime is 82064309. The next prime is 82064351. The reversal of 82064316 is 61346028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6985 + ... + 14591.

It is an arithmetic number, because the mean of its divisors is an integer number (4260480).

Almost surely, 282064316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82064316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102251520).

82064316 is an abundant number, since it is smaller than the sum of its proper divisors (122438724).

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

82064316 is a wasteful number, since it uses less digits than its factorization.

82064316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7674 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 82064316 is about 9058.9356990764. The cubic root of 82064316 is about 434.5617041255.

The spelling of 82064316 in words is "eighty-two million, sixty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 1798 2697 3596 5394 7607 10788 15214 22821 30428 45642 91284 220603 235817 441206 471634 661809 707451 882412 943268 1323618 1414902 2647236 2829804 6838693 13677386 20516079 27354772 41032158 82064316