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42660016 = 2471920047
BaseRepresentation
bin1010001010111…
…1000010110000
32222021100112121
42202233002300
541410110031
64122204024
71025414140
oct242570260
988240477
1042660016
1122098113
1212353614
138ab8519
145946920
153b2a011
hex28af0b0

42660016 has 40 divisors (see below), whose sum is σ = 99438080. Its totient is φ = 17319744.

The previous prime is 42659977. The next prime is 42660029. The reversal of 42660016 is 61006624.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7896 + ... + 12151.

It is an arithmetic number, because the mean of its divisors is an integer number (2485952).

Almost surely, 242660016 is an apocalyptic number.

It is an amenable number.

42660016 is an abundant number, since it is smaller than the sum of its proper divisors (56778064).

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

42660016 is a wasteful number, since it uses less digits than its factorization.

42660016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20081 (or 20075 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 42660016 is about 6531.4635419636. The cubic root of 42660016 is about 349.4140290371.

The spelling of 42660016 in words is "forty-two million, six hundred sixty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 20047 40094 80188 140329 160376 280658 320752 380893 561316 761786 1122632 1523572 2245264 2666251 3047144 5332502 6094288 10665004 21330008 42660016