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426643392 = 26372101449
BaseRepresentation
bin11001011011100…
…000111111000000
31002201210201201010
4121123200333000
51333210042032
6110200240520
713400260200
oct3133407700
91081721633
10426643392
111a991354a
12baa70140
136a50c816
144093c400
15276c7ccc
hex196e0fc0

426643392 has 168 divisors, whose sum is σ = 1329080400. Its totient is φ = 120422400.

The previous prime is 426643391. The next prime is 426643397. The reversal of 426643392 is 293346624.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 426643392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426643391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949984 + ... + 950432.

Almost surely, 2426643392 is an apocalyptic number.

426643392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426643392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664540200).

426643392 is an abundant number, since it is smaller than the sum of its proper divisors (902437008).

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

426643392 is a wasteful number, since it uses less digits than its factorization.

426643392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 562 counting only the distinct ones).

The product of its digits is 186624, while the sum is 39.

The square root of 426643392 is about 20655.3477821120. The cubic root of 426643392 is about 752.8151339185.

It can be divided in two parts, 42664 and 3392, that added together give a triangular number (46056 = T303).

The spelling of 426643392 in words is "four hundred twenty-six million, six hundred forty-three thousand, three hundred ninety-two".