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426662784 = 273219101193
BaseRepresentation
bin11001011011100…
…101101110000000
31002201211201022100
4121123211232000
51333211202114
6110200510400
713400400552
oct3133455600
91081751270
10426662784
111a9927079
12baa7b400
136a5185b2
14409454d2
15276cd909
hex196e5b80

426662784 has 192 divisors, whose sum is σ = 1311944400. Its totient is φ = 132710400.

The previous prime is 426662779. The next prime is 426662837. The reversal of 426662784 is 487266624.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4266627842 = 364082262501261312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2210592 + ... + 2210784.

Almost surely, 2426662784 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 426662784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655972200).

426662784 is an abundant number, since it is smaller than the sum of its proper divisors (885281616).

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

426662784 is a wasteful number, since it uses less digits than its factorization.

426662784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 426662784 is about 20655.8171951632. The cubic root of 426662784 is about 752.8265395171.

The spelling of 426662784 in words is "four hundred twenty-six million, six hundred sixty-two thousand, seven hundred eighty-four".