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82933794 = 23429127139
BaseRepresentation
bin1001111000101…
…11100000100010
312210001110210000
410330113200202
5132212340134
612121320430
72024632326
oct474274042
9183043700
1082933794
11428a5429
1223936116
1314249868
14b02b986
157432e99
hex4f17822

82933794 has 80 divisors (see below), whose sum is σ = 195148800. Its totient is φ = 26290656.

The previous prime is 82933783. The next prime is 82933801. The reversal of 82933794 is 49733928.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 596577 + ... + 596715.

It is an arithmetic number, because the mean of its divisors is an integer number (2439360).

Almost surely, 282933794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82933794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97574400).

82933794 is an abundant number, since it is smaller than the sum of its proper divisors (112215006).

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

82933794 is a wasteful number, since it uses less digits than its factorization.

82933794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 82933794 is about 9106.7993279747. The cubic root of 82933794 is about 436.0910542652.

The spelling of 82933794 in words is "eighty-two million, nine hundred thirty-three thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 127 139 162 174 254 261 278 381 417 522 762 783 834 1143 1251 1566 2286 2349 2502 3429 3683 3753 4031 4698 6858 7366 7506 8062 10287 11049 11259 12093 17653 20574 22098 22518 24186 33147 35306 36279 52959 66294 72558 99441 105918 108837 158877 198882 217674 298323 317754 326511 476631 511937 596646 653022 953262 1023874 1429893 1535811 2859786 3071622 4607433 9214866 13822299 27644598 41466897 82933794