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426583872 = 263211135179
BaseRepresentation
bin11001011011010…
…010011101000000
31002201200201001200
4121123102131000
51333201140442
6110155101200
713366621521
oct3133223500
91081621050
10426583872
111a9882860
12baa41800
136a4bb6c0
1440924848
15276b534c
hex196d2740

426583872 has 168 divisors, whose sum is σ = 1436766240. Its totient is φ = 119301120.

The previous prime is 426583837. The next prime is 426583933. The reversal of 426583872 is 278385624.

426583872 is a `hidden beast` number, since 4 + 265 + 8 + 387 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 79779 + ... + 84957.

It is an arithmetic number, because the mean of its divisors is an integer number (8552180).

Almost surely, 2426583872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718383120).

426583872 is an abundant number, since it is smaller than the sum of its proper divisors (1010182368).

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

426583872 is a wasteful number, since it uses less digits than its factorization.

426583872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221 (or 5208 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 426583872 is about 20653.9069427554. The cubic root of 426583872 is about 752.7801244770.

The spelling of 426583872 in words is "four hundred twenty-six million, five hundred eighty-three thousand, eight hundred seventy-two".