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828145206 = 232721433067
BaseRepresentation
bin110001010111000…
…111111000110110
32010201022010122200
4301113013320312
53144001121311
6214102005330
726344055340
oct6127077066
92121263580
10828145206
11395514829
121b1416846
13102758865
147bdb4290
154ca86556
hex315c7e36

828145206 has 48 divisors (see below), whose sum is σ = 2052271104. Its totient is φ = 236425392.

The previous prime is 828145187. The next prime is 828145237. The reversal of 828145206 is 602541828.

It is a congruent number.

It is an unprimeable number.

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, 268485 + ... + 271551.

It is an arithmetic number, because the mean of its divisors is an integer number (42755648).

Almost surely, 2828145206 is an apocalyptic number.

828145206 is an abundant number, since it is smaller than the sum of its proper divisors (1224125898).

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

828145206 is a wasteful number, since it uses less digits than its factorization.

828145206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 828145206 is about 28777.5121579333. The cubic root of 828145206 is about 939.0790761797.

The spelling of 828145206 in words is "eight hundred twenty-eight million, one hundred forty-five thousand, two hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2143 3067 4286 6134 6429 9201 12858 15001 18402 19287 21469 27603 30002 38574 42938 45003 55206 64407 90006 128814 135009 193221 270018 386442 6572581 13145162 19717743 39435486 46008067 59153229 92016134 118306458 138024201 276048402 414072603 828145206