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42742575 = 3252189967
BaseRepresentation
bin1010001100001…
…1001100101111
32222102112210100
42203003030233
541420230300
64124042143
71026206631
oct243031457
988375710
1042742575
1122144147
1212393353
138b16c85
145968a51
153b44700
hex28c332f

42742575 has 18 divisors (see below), whose sum is σ = 76557104. Its totient is φ = 22795920.

The previous prime is 42742523. The next prime is 42742577. The reversal of 42742575 is 57524724.

It is a happy number.

42742575 is a `hidden beast` number, since 42 + 7 + 42 + 575 = 666.

42742575 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 42742575 - 211 = 42740527 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42742577) 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 17 ways as a sum of consecutive naturals, for example, 94759 + ... + 95208.

Almost surely, 242742575 is an apocalyptic number.

42742575 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42742575 is a deficient number, since it is larger than the sum of its proper divisors (33814529).

42742575 is a wasteful number, since it uses less digits than its factorization.

42742575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189983 (or 189975 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 42742575 is about 6537.7805867129. The cubic root of 42742575 is about 349.6392882403.

The spelling of 42742575 in words is "forty-two million, seven hundred forty-two thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 225 189967 569901 949835 1709703 2849505 4749175 8548515 14247525 42742575