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426382002 = 23319415577
BaseRepresentation
bin11001011010100…
…001001010110010
31002201022110011000
4121122201022302
51333123211002
6110150502430
713365121134
oct3132411262
91081273130
10426382002
111a9755122
12ba964a16
136a44a857
14408b1054
152767561c
hex196a12b2

426382002 has 32 divisors (see below), whose sum is σ = 997387200. Its totient is φ = 134646624.

The previous prime is 426381971. The next prime is 426382003. The reversal of 426382002 is 200283624.

426382002 is a `hidden beast` number, since 4 + 2 + 638 + 20 + 0 + 2 = 666.

It is a super-2 number, since 2×4263820022 = 363603223259056008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (426382003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 206763 + ... + 208814.

It is an arithmetic number, because the mean of its divisors is an integer number (31168350).

Almost surely, 2426382002 is an apocalyptic number.

426382002 is an abundant number, since it is smaller than the sum of its proper divisors (571005198).

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

426382002 is a wasteful number, since it uses less digits than its factorization.

426382002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415607 (or 415601 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 426382002 is about 20649.0193956033. The cubic root of 426382002 is about 752.6613610395.

The spelling of 426382002 in words is "four hundred twenty-six million, three hundred eighty-two thousand, two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 415577 831154 1246731 2493462 3740193 7480386 7895963 11220579 15791926 22441158 23687889 47375778 71063667 142127334 213191001 426382002