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42328064 = 2135167
BaseRepresentation
bin1010000101111…
…0000000000000
32221122111012002
42201132000000
541313444224
64111123132
71022532302
oct241360000
987574162
1042328064
1121990779
12122134a8
138a003bc
14589b972
153ab19ae
hex285e000

42328064 has 28 divisors (see below), whose sum is σ = 84667344. Its totient is φ = 21159936.

The previous prime is 42328057. The next prime is 42328109. The reversal of 42328064 is 46082324.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5609 + ... + 10775.

Almost surely, 242328064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42333672).

42328064 is an abundant number, since it is smaller than the sum of its proper divisors (42339280).

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

42328064 is an frugal number, since it uses more digits than its factorization.

42328064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193 (or 5169 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 42328064 is about 6506.0021518595. The cubic root of 42328064 is about 348.5053651947.

The spelling of 42328064 in words is "forty-two million, three hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 5167 8192 10334 20668 41336 82672 165344 330688 661376 1322752 2645504 5291008 10582016 21164032 42328064