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42164032 = 261514363
BaseRepresentation
bin1010000011010…
…1111101000000
32221100011011211
42200311331000
541243222112
64103415504
71021250131
oct240657500
987304154
1042164032
1121889509
1212154594
138973841
145857c88
153a7d0a7
hex2835f40

42164032 has 28 divisors (see below), whose sum is σ = 84242656. Its totient is φ = 20937600.

The previous prime is 42163981. The next prime is 42164039. The reversal of 42164032 is 23046124.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42163994 and 42164012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42164039) 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 3 ways as a sum of consecutive naturals, for example, 7483 + ... + 11845.

Almost surely, 242164032 is an apocalyptic number.

It is an amenable number.

42164032 is a deficient number, since it is larger than the sum of its proper divisors (42078624).

42164032 is a wasteful number, since it uses less digits than its factorization.

42164032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 42164032 is about 6493.3837095924. The cubic root of 42164032 is about 348.0546001439.

The spelling of 42164032 in words is "forty-two million, one hundred sixty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 151 302 604 1208 2416 4363 4832 8726 9664 17452 34904 69808 139616 279232 658813 1317626 2635252 5270504 10541008 21082016 42164032