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426626424 = 2332717229101
BaseRepresentation
bin11001011011011…
…100110101111000
31002201202212102200
4121123130311320
51333204021144
6110200030200
713400156550
oct3133346570
91081685380
10426626424
111a9901824
12baa62360
136a504b93
1440936160
15276c2c69
hex196dcd78

426626424 has 288 divisors, whose sum is σ = 1465495200. Its totient is φ = 109670400.

The previous prime is 426626419. The next prime is 426626479. The reversal of 426626424 is 424626624.

426626424 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 2 + 642 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4223974 + ... + 4224074.

It is an arithmetic number, because the mean of its divisors is an integer number (5088525).

Almost surely, 2426626424 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 426626424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732747600).

426626424 is an abundant number, since it is smaller than the sum of its proper divisors (1038868776).

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

426626424 is a wasteful number, since it uses less digits than its factorization.

426626424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 159 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 426626424 is about 20654.9370369411. The cubic root of 426626424 is about 752.8051537361.

The spelling of 426626424 in words is "four hundred twenty-six million, six hundred twenty-six thousand, four hundred twenty-four".