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42155190 = 23257211279
BaseRepresentation
bin1010000011001…
…1110010110110
32221022201001100
42200303302312
541242431230
64103310530
71021212300
oct240636266
987281040
1042155190
1121882900
121214b446
13896c7cc
145854970
153a7a660
hex2833cb6

42155190 has 216 divisors, whose sum is σ = 141916320. Its totient is φ = 8648640.

The previous prime is 42155147. The next prime is 42155203. The reversal of 42155190 is 9155124.

42155190 is a `hidden beast` number, since 4 + 21 + 551 + 90 = 666.

42155190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×421551902 = 3554120087872200, which contains 22 as substring.

It is a Curzon number.

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 107 ways as a sum of consecutive naturals, for example, 533571 + ... + 533649.

It is an arithmetic number, because the mean of its divisors is an integer number (657020).

Almost surely, 242155190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42155190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70958160).

42155190 is an abundant number, since it is smaller than the sum of its proper divisors (99761130).

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

42155190 is a wasteful number, since it uses less digits than its factorization.

42155190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 42155190 is about 6492.7028270205. The cubic root of 42155190 is about 348.0302688693.

It can be divided in two parts, 421 and 55190, that added together give a triangular number (55611 = T333).

The spelling of 42155190 in words is "forty-two million, one hundred fifty-five thousand, one hundred ninety".