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42090084 = 2233389723
BaseRepresentation
bin1010000010001…
…1111001100100
32221012101202000
42200203321210
541233340314
64102045300
71020521421
oct240437144
987171660
1042090084
11218389a3
1212119830
138948c9a
145838d48
153a66209
hex2823e64

42090084 has 24 divisors (see below), whose sum is σ = 109122720. Its totient is φ = 14029992.

The previous prime is 42090071. The next prime is 42090091. The reversal of 42090084 is 48009024.

It is a super-2 number, since 2×420900842 = 3543150342254112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 194754 + ... + 194969.

It is an arithmetic number, because the mean of its divisors is an integer number (4546780).

Almost surely, 242090084 is an apocalyptic number.

It is an amenable number.

42090084 is an abundant number, since it is smaller than the sum of its proper divisors (67032636).

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

42090084 is a wasteful number, since it uses less digits than its factorization.

42090084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389736 (or 389728 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42090084 is about 6487.6871071284. The cubic root of 42090084 is about 347.8510063732.

The spelling of 42090084 in words is "forty-two million, ninety thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 389723 779446 1169169 1558892 2338338 3507507 4676676 7015014 10522521 14030028 21045042 42090084