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42085881 = 3210942901
BaseRepresentation
bin1010000010001…
…0110111111001
32221012011222100
42200202313321
541233222011
64102014013
71020503235
oct240426771
987164870
1042085881
1121835822
1212117309
1389470b6
1458375c5
153a64d56
hex2822df9

42085881 has 12 divisors (see below), whose sum is σ = 61349860. Its totient is φ = 27799200.

The previous prime is 42085877. The next prime is 42085919. The reversal of 42085881 is 18858024.

42085881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31136400 + 10949481 = 5580^2 + 3309^2 .

It is not a de Polignac number, because 42085881 - 22 = 42085877 is a prime.

It is a super-2 number, since 2×420858812 = 3542442759092322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42085801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20470 + ... + 22431.

Almost surely, 242085881 is an apocalyptic number.

It is an amenable number.

42085881 is a deficient number, since it is larger than the sum of its proper divisors (19263979).

42085881 is a wasteful number, since it uses less digits than its factorization.

42085881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43016 (or 43013 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 42085881 is about 6487.3631777480. The cubic root of 42085881 is about 347.8394275062.

The spelling of 42085881 in words is "forty-two million, eighty-five thousand, eight hundred eighty-one".

Divisors: 1 3 9 109 327 981 42901 128703 386109 4676209 14028627 42085881