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820322652 = 223292357249
BaseRepresentation
bin110000111001010…
…010000101011100
32010011120201010110
4300321102011130
53140000311102
6213222210020
726220425142
oct6071220534
92104521113
10820322652
11391061606
121aa883910
13100c4a126
147ad39592
154c03d86c
hex30e5215c

820322652 has 24 divisors (see below), whose sum is σ = 1980090000. Its totient is φ = 264011776.

The previous prime is 820322647. The next prime is 820322677. The reversal of 820322652 is 256223028.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1178277 + ... + 1178972.

It is an arithmetic number, because the mean of its divisors is an integer number (82503750).

Almost surely, 2820322652 is an apocalyptic number.

It is an amenable number.

820322652 is an abundant number, since it is smaller than the sum of its proper divisors (1159767348).

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

820322652 is a wasteful number, since it uses less digits than its factorization.

820322652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357285 (or 2357283 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 820322652 is about 28641.2753207674. The cubic root of 820322652 is about 936.1129100769.

The spelling of 820322652 in words is "eight hundred twenty million, three hundred twenty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 2357249 4714498 7071747 9428996 14143494 28286988 68360221 136720442 205080663 273440884 410161326 820322652