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40428666 = 2331076997
BaseRepresentation
bin1001101000111…
…0010001111010
32211001222201000
42122032101322
540322204131
64002305430
71000431555
oct232162172
984058630
1040428666
1120903723
1211658276
1384b69b5
14552569c
153838ce6
hex268e47a

40428666 has 32 divisors (see below), whose sum is σ = 90694080. Its totient is φ = 13348368.

The previous prime is 40428653. The next prime is 40428677. The reversal of 40428666 is 66682404.

It is a happy number.

40428666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40428666.

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 15 ways as a sum of consecutive naturals, for example, 2280 + ... + 9276.

It is an arithmetic number, because the mean of its divisors is an integer number (2834190).

Almost surely, 240428666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40428666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45347040).

40428666 is an abundant number, since it is smaller than the sum of its proper divisors (50265414).

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

40428666 is a wasteful number, since it uses less digits than its factorization.

40428666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7115 (or 7109 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 40428666 is about 6358.3540322948. The cubic root of 40428666 is about 343.2125319401.

The spelling of 40428666 in words is "forty million, four hundred twenty-eight thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 2889 5778 6997 13994 20991 41982 62973 125946 188919 377838 748679 1497358 2246037 4492074 6738111 13476222 20214333 40428666