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42810593 = 761107937
BaseRepresentation
bin1010001101001…
…1110011100001
32222120000002112
42203103303201
541424414333
64125325105
71026612140
oct243236341
988500075
1042810593
1122190261
1212406795
138b3bc17
145985757
153b59948
hex28d3ce1

42810593 has 16 divisors (see below), whose sum is σ = 50246784. Its totient is φ = 35717760.

The previous prime is 42810587. The next prime is 42810643. The reversal of 42810593 is 39501824.

42810593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42810593 - 26 = 42810529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42810503) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45221 + ... + 46157.

It is an arithmetic number, because the mean of its divisors is an integer number (3140424).

Almost surely, 242810593 is an apocalyptic number.

It is an amenable number.

42810593 is a deficient number, since it is larger than the sum of its proper divisors (7436191).

42810593 is a wasteful number, since it uses less digits than its factorization.

42810593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 42810593 is about 6542.9804370791. The cubic root of 42810593 is about 349.8246550265.

The spelling of 42810593 in words is "forty-two million, eight hundred ten thousand, five hundred ninety-three".

Divisors: 1 7 61 107 427 749 937 6527 6559 45689 57157 100259 400099 701813 6115799 42810593