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828399132 = 2232112091917
BaseRepresentation
bin110001011000000…
…101111000011100
32010201210000222100
4301120011320130
53144032233012
6214111245100
726346163551
oct6130057034
92121700870
10828399132
11395678590
121b1519790
13102817302
147c03ca28
154cad68dc
hex31605e1c

828399132 has 36 divisors (see below), whose sum is σ = 2284374456. Its totient is φ = 251029920.

The previous prime is 828399097. The next prime is 828399149. The reversal of 828399132 is 231993828.

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 1045563 + ... + 1046354.

It is an arithmetic number, because the mean of its divisors is an integer number (63454846).

Almost surely, 2828399132 is an apocalyptic number.

It is an amenable number.

828399132 is an abundant number, since it is smaller than the sum of its proper divisors (1455975324).

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

828399132 is a wasteful number, since it uses less digits than its factorization.

828399132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091938 (or 2091933 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 828399132 is about 28781.9237022128. The cubic root of 828399132 is about 939.1750465578.

The spelling of 828399132 in words is "eight hundred twenty-eight million, three hundred ninety-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2091917 4183834 6275751 8367668 12551502 18827253 23011087 25103004 37654506 46022174 69033261 75309012 92044348 138066522 207099783 276133044 414199566 828399132