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426783402 = 232175212677
BaseRepresentation
bin11001011100000…
…011001010101010
31002202001211202200
4121130003022222
51333224032102
6110203241030
713401412323
oct3134031252
91082054680
10426783402
111a99a9761
12bab19176
136a55b476
144097744a
152770451c
hex197032aa

426783402 has 48 divisors (see below), whose sum is σ = 981337032. Its totient is φ = 133585920.

The previous prime is 426783397. The next prime is 426783431. The reversal of 426783402 is 204387624.

It can be written as a sum of positive squares in 4 ways, for example, as 258277041 + 168506361 = 16071^2 + 12981^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 158088 + ... + 160764.

Almost surely, 2426783402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426783402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490668516).

426783402 is an abundant number, since it is smaller than the sum of its proper divisors (554553630).

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

426783402 is a wasteful number, since it uses less digits than its factorization.

426783402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 426783402 is about 20658.7366990337. The cubic root of 426783402 is about 752.8974744408.

The spelling of 426783402 in words is "four hundred twenty-six million, seven hundred eighty-three thousand, four hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 521 1042 1563 2677 3126 4689 5354 8031 8857 9378 16062 17714 24093 26571 45509 48186 53142 79713 91018 136527 159426 273054 409581 819162 1394717 2789434 4184151 8368302 12552453 23710189 25104906 47420378 71130567 142261134 213391701 426783402