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426258816 = 27317223167
BaseRepresentation
bin11001011010000…
…011000110000000
31002201002012011120
4121122003012000
51333110240231
6110144112240
713364066034
oct3132030600
91081065146
10426258816
111a9680615
12ba905680
136a406769
144087c1c4
152764dd96
hex19683180

426258816 has 192 divisors, whose sum is σ = 1262580480. Its totient is φ = 127148032.

The previous prime is 426258803. The next prime is 426258817. The reversal of 426258816 is 618852624.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426258817) 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, 2552365 + ... + 2552531.

It is an arithmetic number, because the mean of its divisors is an integer number (6575940).

Almost surely, 2426258816 is an apocalyptic number.

426258816 is a gapful number since it is divisible by the number (46) 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 426258816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631290240).

426258816 is an abundant number, since it is smaller than the sum of its proper divisors (836321664).

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

426258816 is a wasteful number, since it uses less digits than its factorization.

426258816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 212 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 426258816 is about 20646.0363266173. The cubic root of 426258816 is about 752.5888702743.

The spelling of 426258816 in words is "four hundred twenty-six million, two hundred fifty-eight thousand, eight hundred sixteen".