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40427646 = 2372199691
BaseRepresentation
bin1001101000111…
…0000001111110
32211001221022020
42122032001332
540322141041
64002301010
71000425600
oct232160176
984057266
1040427646
1120902986
1211657766
1384b63ac
145525170
153838866
hex268e07e

40427646 has 48 divisors (see below), whose sum is σ = 94665600. Its totient is φ = 11476080.

The previous prime is 40427641. The next prime is 40427659. The reversal of 40427646 is 64672404.

40427646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×404276462 = 3268789122202632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40427641) 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 23 ways as a sum of consecutive naturals, for example, 58161 + ... + 58851.

It is an arithmetic number, because the mean of its divisors is an integer number (1972200).

Almost surely, 240427646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40427646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47332800).

40427646 is an abundant number, since it is smaller than the sum of its proper divisors (54237954).

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

40427646 is a wasteful number, since it uses less digits than its factorization.

40427646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 40427646 is about 6358.2738223515. The cubic root of 40427646 is about 343.2096455415.

The spelling of 40427646 in words is "forty million, four hundred twenty-seven thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 199 294 398 597 691 1194 1382 1393 2073 2786 4146 4179 4837 8358 9674 9751 14511 19502 29022 29253 33859 58506 67718 101577 137509 203154 275018 412527 825054 962563 1925126 2887689 5775378 6737941 13475882 20213823 40427646