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42404652 = 22323137997
BaseRepresentation
bin1010000111000…
…0101100101100
32221210101020200
42201300230230
541323422102
64112513500
71023301503
oct241605454
987711220
1042404652
1121a33274
121224b890
138a29214
1458bb83a
153ac951c
hex2870b2c

42404652 has 36 divisors (see below), whose sum is σ = 110650176. Its totient is φ = 13678560.

The previous prime is 42404633. The next prime is 42404653. The reversal of 42404652 is 25640424.

42404652 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 4 + 652 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×424046522 = 3596309022482208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42404653) by changing a digit.

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, 17883 + ... + 20114.

It is an arithmetic number, because the mean of its divisors is an integer number (3073616).

Almost surely, 242404652 is an apocalyptic number.

It is an amenable number.

42404652 is an abundant number, since it is smaller than the sum of its proper divisors (68245524).

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

42404652 is a wasteful number, since it uses less digits than its factorization.

42404652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38038 (or 38033 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 42404652 is about 6511.8854412528. The cubic root of 42404652 is about 348.7154326551.

The spelling of 42404652 in words is "forty-two million, four hundred four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 37997 75994 113991 151988 227982 341973 455964 683946 1177907 1367892 2355814 3533721 4711628 7067442 10601163 14134884 21202326 42404652