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42567903 = 337225227
BaseRepresentation
bin1010001001100…
…0100011011111
32222002200012000
42202120203133
541344133103
64120213343
71024551450
oct242304337
988080160
1042567903
1122034994
121230a253
138a85611
145921127
153b0caa3
hex28988df

42567903 has 16 divisors (see below), whose sum is σ = 72072960. Its totient is φ = 24324408.

The previous prime is 42567901. The next prime is 42567913. The reversal of 42567903 is 30976524.

42567903 is a `hidden beast` number, since 4 + 2 + 567 + 90 + 3 = 666.

42567903 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42567903 - 21 = 42567901 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42567901) 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, 112425 + ... + 112802.

It is an arithmetic number, because the mean of its divisors is an integer number (4504560).

Almost surely, 242567903 is an apocalyptic number.

42567903 is a deficient number, since it is larger than the sum of its proper divisors (29505057).

42567903 is a wasteful number, since it uses less digits than its factorization.

42567903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225243 (or 225237 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 42567903 is about 6524.4082490292. The cubic root of 42567903 is about 349.1623588104.

The spelling of 42567903 in words is "forty-two million, five hundred sixty-seven thousand, nine hundred three".

Divisors: 1 3 7 9 21 27 63 189 225227 675681 1576589 2027043 4729767 6081129 14189301 42567903