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42693360 = 2435177889
BaseRepresentation
bin1010001011011…
…1001011110000
32222100001021120
42202313023300
541412141420
64123022240
71025613303
oct242671360
988301246
1042693360
1122110176
121236a980
138aca758
145954b3a
153b34d40
hex28b72f0

42693360 has 40 divisors (see below), whose sum is σ = 132350160. Its totient is φ = 11384832.

The previous prime is 42693353. The next prime is 42693377. The reversal of 42693360 is 6339624.

42693360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 88705 + ... + 89184.

It is an arithmetic number, because the mean of its divisors is an integer number (3308754).

Almost surely, 242693360 is an apocalyptic number.

42693360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42693360 is an abundant number, since it is smaller than the sum of its proper divisors (89656800).

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

42693360 is a wasteful number, since it uses less digits than its factorization.

42693360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177905 (or 177899 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 42693360 is about 6534.0156106333. The cubic root of 42693360 is about 349.5050418736.

The spelling of 42693360 in words is "forty-two million, six hundred ninety-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 177889 355778 533667 711556 889445 1067334 1423112 1778890 2134668 2668335 2846224 3557780 4269336 5336670 7115560 8538672 10673340 14231120 21346680 42693360