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42648660 = 2233578979
BaseRepresentation
bin1010001010110…
…0010001010100
32222020202222000
42202230101110
541404224120
64122035300
71025336055
oct242542124
988222860
1042648660
112208a62a
1212348b30
138ab32c2
14594272c
153b26990
hex28ac454

42648660 has 48 divisors (see below), whose sum is σ = 132686400. Its totient is φ = 11372832.

The previous prime is 42648643. The next prime is 42648667. The reversal of 42648660 is 6684624.

It is a happy number.

42648660 is a `hidden beast` number, since 4 + 2 + 648 + 6 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42648667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38950 + ... + 40029.

It is an arithmetic number, because the mean of its divisors is an integer number (2764300).

Almost surely, 242648660 is an apocalyptic number.

It is an amenable number.

42648660 is an abundant number, since it is smaller than the sum of its proper divisors (90037740).

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

42648660 is a wasteful number, since it uses less digits than its factorization.

42648660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78997 (or 78989 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 42648660 is about 6530.5941536739. The cubic root of 42648660 is about 349.3830218769.

The spelling of 42648660 in words is "forty-two million, six hundred forty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 78979 157958 236937 315916 394895 473874 710811 789790 947748 1184685 1421622 1579580 2132433 2369370 2843244 3554055 4264866 4738740 7108110 8529732 10662165 14216220 21324330 42648660