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42605838 = 2341123909
BaseRepresentation
bin1010001010000…
…1110100001110
32222011121020000
42202201310032
541401341323
64121105130
71025100162
oct242416416
988147200
1042605838
1122060440
12123281a6
138a99972
145930ca2
153b18e43
hex28a1d0e

42605838 has 40 divisors (see below), whose sum is σ = 104151960. Its totient is φ = 12910320.

The previous prime is 42605837. The next prime is 42605851. The reversal of 42605838 is 83850624.

42605838 is a `hidden beast` number, since 42 + 605 + 8 + 3 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42605837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10173 + ... + 13736.

It is an arithmetic number, because the mean of its divisors is an integer number (2603799).

Almost surely, 242605838 is an apocalyptic number.

42605838 is an abundant number, since it is smaller than the sum of its proper divisors (61546122).

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

42605838 is a wasteful number, since it uses less digits than its factorization.

42605838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23934 (or 23925 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42605838 is about 6527.3147618297. The cubic root of 42605838 is about 349.2660483704.

The spelling of 42605838 in words is "forty-two million, six hundred five thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 23909 47818 71727 143454 215181 262999 430362 525998 645543 788997 1291086 1577994 1936629 2366991 3873258 4733982 7100973 14201946 21302919 42605838