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828969042 = 231122755331
BaseRepresentation
bin110001011010010…
…001000001010010
32010202211222202010
4301122101001102
53144204002132
6214131403350
726354056236
oct6132210122
92122758663
10828969042
11395a27790
121b1753556
13102986835
147c14a5c6
154cb9a6cc
hex31691052

828969042 has 32 divisors (see below), whose sum is σ = 1816660224. Its totient is φ = 250091600.

The previous prime is 828969019. The next prime is 828969049. The reversal of 828969042 is 240969828.

It is a junction number, because it is equal to n+sod(n) for n = 828968982 and 828969000.

It is not an unprimeable number, because it can be changed into a prime (828969049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12684 + ... + 42647.

It is an arithmetic number, because the mean of its divisors is an integer number (56770632).

Almost surely, 2828969042 is an apocalyptic number.

828969042 is an abundant number, since it is smaller than the sum of its proper divisors (987691182).

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

828969042 is a wasteful number, since it uses less digits than its factorization.

828969042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55574.

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 828969042 is about 28791.8224848654. The cubic root of 828969042 is about 939.3903705217.

The spelling of 828969042 in words is "eight hundred twenty-eight million, nine hundred sixty-nine thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 227 454 681 1362 2497 4994 7491 14982 55331 110662 165993 331986 608641 1217282 1825923 3651846 12560137 25120274 37680411 75360822 138161507 276323014 414484521 828969042