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42004242 = 2327333367
BaseRepresentation
bin1010000000111…
…0111100010010
32221001000222200
42200032330102
541223113432
64100144030
71020013230
oct240167422
987030880
1042004242
112178a455
1212098016
138918ba7
145815950
153a4aa7c
hex280ef12

42004242 has 24 divisors (see below), whose sum is σ = 104010816. Its totient is φ = 12001176.

The previous prime is 42004219. The next prime is 42004301. The reversal of 42004242 is 24240024.

42004242 is a `hidden beast` number, since 420 + 0 + 4 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

42004242 is a modest number, since divided by 4242 gives 4200 as remainder.

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 11 ways as a sum of consecutive naturals, for example, 166558 + ... + 166809.

It is an arithmetic number, because the mean of its divisors is an integer number (4333784).

Almost surely, 242004242 is an apocalyptic number.

42004242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

42004242 is an abundant number, since it is smaller than the sum of its proper divisors (62006574).

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

42004242 is a wasteful number, since it uses less digits than its factorization.

42004242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333382 (or 333379 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 42004242 is about 6481.0679675498. The cubic root of 42004242 is about 347.6143667177.

Adding to 42004242 its reverse (24240024), we get a palindrome (66244266).

The spelling of 42004242 in words is "forty-two million, four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 333367 666734 1000101 2000202 2333569 3000303 4667138 6000606 7000707 14001414 21002121 42004242