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42817504 = 252295843
BaseRepresentation
bin1010001101010…
…1011111100000
32222120100120111
42203111133200
541430130004
64125421104
71026641242
oct243253740
988510514
1042817504
1122195474
121240a794
138b42102
145988092
153b5ba04
hex28d57e0

42817504 has 24 divisors (see below), whose sum is σ = 84679560. Its totient is φ = 21311616.

The previous prime is 42817499. The next prime is 42817591. The reversal of 42817504 is 40571824.

42817504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4407 + ... + 10249.

It is an arithmetic number, because the mean of its divisors is an integer number (3528315).

Almost surely, 242817504 is an apocalyptic number.

It is an amenable number.

42817504 is a deficient number, since it is larger than the sum of its proper divisors (41862056).

42817504 is a wasteful number, since it uses less digits than its factorization.

42817504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082 (or 6074 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 42817504 is about 6543.5085390026. The cubic root of 42817504 is about 349.8434783125.

The spelling of 42817504 in words is "forty-two million, eight hundred seventeen thousand, five hundred four".

Divisors: 1 2 4 8 16 32 229 458 916 1832 3664 5843 7328 11686 23372 46744 93488 186976 1338047 2676094 5352188 10704376 21408752 42817504