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828233352 = 233213187811
BaseRepresentation
bin110001010111011…
…101011010001000
32010201110121120100
4301113131122020
53144011431402
6214103525400
726344603332
oct6127353210
92121417510
10828233352
11395574a81
121b1459860
13102789a0b
147bdd8452
154caa271c
hex315dd688

828233352 has 48 divisors (see below), whose sum is σ = 2260280880. Its totient is φ = 273967200.

The previous prime is 828233347. The next prime is 828233401. The reversal of 828233352 is 253332828.

It is a happy number.

828233352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34474 + ... + 53337.

It is an arithmetic number, because the mean of its divisors is an integer number (47089185).

Almost surely, 2828233352 is an apocalyptic number.

It is an amenable number.

828233352 is an abundant number, since it is smaller than the sum of its proper divisors (1432047528).

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

828233352 is a wasteful number, since it uses less digits than its factorization.

828233352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87954 (or 87947 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 828233352 is about 28779.0436255272. The cubic root of 828233352 is about 939.1123928521.

The spelling of 828233352 in words is "eight hundred twenty-eight million, two hundred thirty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 9432 87811 175622 263433 351244 526866 702488 790299 1053732 1580598 2107464 3161196 6322392 11503241 23006482 34509723 46012964 69019446 92025928 103529169 138038892 207058338 276077784 414116676 828233352