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42084084 = 2237501001
BaseRepresentation
bin1010000010001…
…0011011110100
32221012002111210
42200202123310
541233142314
64102001420
71020465060
oct240423364
987162453
1042084084
1121834439
1212116270
138946333
145836aa0
153a64559
hex28226f4

42084084 has 24 divisors (see below), whose sum is σ = 112224448. Its totient is φ = 12024000.

The previous prime is 42084079. The next prime is 42084103. The reversal of 42084084 is 48048024.

It is a super-2 number, since 2×420840842 = 3542140252238112, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 250417 + ... + 250584.

Almost surely, 242084084 is an apocalyptic number.

It is an amenable number.

42084084 is an abundant number, since it is smaller than the sum of its proper divisors (70140364).

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

42084084 is a wasteful number, since it uses less digits than its factorization.

42084084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501015 (or 501013 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 42084084 is about 6487.2246762387. The cubic root of 42084084 is about 347.8344767061.

The spelling of 42084084 in words is "forty-two million, eighty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 501001 1002002 1503003 2004004 3006006 3507007 6012012 7014014 10521021 14028028 21042042 42084084