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426631608 = 2332133797127
BaseRepresentation
bin11001011011011…
…110000110111000
31002201210010112200
4121123132012320
51333204202413
6110200110200
713400210634
oct3133360670
91081703480
10426631608
111a9905707
12baa65360
136a507350
1440937dc4
15276c4573
hex196de1b8

426631608 has 192 divisors, whose sum is σ = 1301314560. Its totient is φ = 125411328.

The previous prime is 426631573. The next prime is 426631627. The reversal of 426631608 is 806136624.

426631608 is a `hidden beast` number, since 42 + 6 + 6 + 3 + 1 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3359241 + ... + 3359367.

It is an arithmetic number, because the mean of its divisors is an integer number (6777680).

Almost surely, 2426631608 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 426631608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650657280).

426631608 is an abundant number, since it is smaller than the sum of its proper divisors (874682952).

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

426631608 is a wasteful number, since it uses less digits than its factorization.

426631608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 426631608 is about 20655.0625271385. The cubic root of 426631608 is about 752.8082028722.

The spelling of 426631608 in words is "four hundred twenty-six million, six hundred thirty-one thousand, six hundred eight".