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42128964 = 2233390083
BaseRepresentation
bin1010000010110…
…1011001000100
32221021101002000
42200231121010
541241111324
64102545300
71021042653
oct240553104
987241060
1042128964
1121865129
1212138230
1389608a7
14584919a
153a729c9
hex282d644

42128964 has 24 divisors (see below), whose sum is σ = 109223520. Its totient is φ = 14042952.

The previous prime is 42128929. The next prime is 42128971. The reversal of 42128964 is 46982124.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194934 + ... + 195149.

It is an arithmetic number, because the mean of its divisors is an integer number (4550980).

Almost surely, 242128964 is an apocalyptic number.

It is an amenable number.

42128964 is an abundant number, since it is smaller than the sum of its proper divisors (67094556).

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

42128964 is a wasteful number, since it uses less digits than its factorization.

42128964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390096 (or 390088 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42128964 is about 6490.6828608398. The cubic root of 42128964 is about 347.9580805630.

The spelling of 42128964 in words is "forty-two million, one hundred twenty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 390083 780166 1170249 1560332 2340498 3510747 4680996 7021494 10532241 14042988 21064482 42128964