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42444342 = 23217294783
BaseRepresentation
bin1010000111101…
…0011000110110
32221212101200200
42201322120312
541331204332
64113421330
71023525303
oct241723066
987771620
1042444342
1121a60076
121226a846
138a412c5
1458cc0aa
153ad617c
hex287a636

42444342 has 48 divisors (see below), whose sum is σ = 100751040. Its totient is φ = 12854016.

The previous prime is 42444331. The next prime is 42444377. The reversal of 42444342 is 24344424.

It is a happy number.

42444342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 6483 + ... + 11265.

It is an arithmetic number, because the mean of its divisors is an integer number (2098980).

Almost surely, 242444342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42444342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50375520).

42444342 is an abundant number, since it is smaller than the sum of its proper divisors (58306698).

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

42444342 is a wasteful number, since it uses less digits than its factorization.

42444342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837 (or 4834 counting only the distinct ones).

The product of its digits is 12288, while the sum is 27.

The square root of 42444342 is about 6514.9322329553. The cubic root of 42444342 is about 348.8241958761.

Adding to 42444342 its reverse (24344424), we get a palindrome (66788766).

The spelling of 42444342 in words is "forty-two million, four hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 2958 4437 4783 8874 9566 14349 28698 43047 81311 86094 138707 162622 243933 277414 416121 487866 731799 832242 1248363 1463598 2358019 2496726 4716038 7074057 14148114 21222171 42444342