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42129084 = 2236415477
BaseRepresentation
bin1010000010110…
…1011010111100
32221021101020110
42200231122330
541241112314
64102550020
71021043214
oct240553274
987241213
1042129084
1121865228
1212138310
13896096a
145849244
153a72a59
hex282d6bc

42129084 has 24 divisors (see below), whose sum is σ = 98472528. Its totient is φ = 14018560.

The previous prime is 42129053. The next prime is 42129091. The reversal of 42129084 is 48092124.

42129084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 4954 + ... + 10430.

It is an arithmetic number, because the mean of its divisors is an integer number (4103022).

Almost surely, 242129084 is an apocalyptic number.

It is an amenable number.

42129084 is an abundant number, since it is smaller than the sum of its proper divisors (56343444).

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

42129084 is a wasteful number, since it uses less digits than its factorization.

42129084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6125 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 42129084 is about 6490.6921048529. The cubic root of 42129084 is about 347.9584109369.

The spelling of 42129084 in words is "forty-two million, one hundred twenty-nine thousand, eighty-four".

Divisors: 1 2 3 4 6 12 641 1282 1923 2564 3846 5477 7692 10954 16431 21908 32862 65724 3510757 7021514 10532271 14043028 21064542 42129084