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42645330 = 232571341127
BaseRepresentation
bin1010001010101…
…1011101010010
32222020121101200
42202223131102
541404122310
64122012030
71025323260
oct242533522
988217350
1042645330
1122088082
1212347016
138ab1930
145941430
153b259c0
hex28ab752

42645330 has 192 divisors, whose sum is σ = 140894208. Its totient is φ = 8709120.

The previous prime is 42645319. The next prime is 42645353. The reversal of 42645330 is 3354624.

42645330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42645294 and 42645303.

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 95 ways as a sum of consecutive naturals, for example, 335727 + ... + 335853.

It is an arithmetic number, because the mean of its divisors is an integer number (733824).

Almost surely, 242645330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42645330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70447104).

42645330 is an abundant number, since it is smaller than the sum of its proper divisors (98248878).

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

42645330 is a wasteful number, since it uses less digits than its factorization.

42645330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 42645330 is about 6530.3391948658. The cubic root of 42645330 is about 349.3739283849.

Adding to 42645330 its reverse (3354624), we get a palindrome (45999954).

The spelling of 42645330 in words is "forty-two million, six hundred forty-five thousand, three hundred thirty".