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42082074 = 23219294243
BaseRepresentation
bin1010000010000…
…1111100011010
32221011222202100
42200201330122
541233111244
64101544230
71020456156
oct240417432
987158670
1042082074
1121832981
1212115076
138945448
145836066
153a63b69
hex2821f1a

42082074 has 48 divisors (see below), whose sum is σ = 99309600. Its totient is φ = 12827808.

The previous prime is 42082069. The next prime is 42082081. The reversal of 42082074 is 47028024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7797 + ... + 12039.

It is an arithmetic number, because the mean of its divisors is an integer number (2068950).

Almost surely, 242082074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42082074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49654800).

42082074 is an abundant number, since it is smaller than the sum of its proper divisors (57227526).

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

42082074 is a wasteful number, since it uses less digits than its factorization.

42082074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42082074 is about 6487.0697545194. The cubic root of 42082074 is about 347.8289389164.

The spelling of 42082074 in words is "forty-two million, eighty-two thousand, seventy-four".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 1102 1653 3306 4243 4959 8486 9918 12729 25458 38187 76374 80617 123047 161234 241851 246094 369141 483702 725553 738282 1107423 1451106 2214846 2337893 4675786 7013679 14027358 21041037 42082074