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42613605 = 325946969
BaseRepresentation
bin1010001010001…
…1101101100101
32222011222212200
42202203231211
541402113410
64121205113
71025131626
oct242435545
988158780
1042613605
1122066261
1212330799
138aa0368
145933a4d
153b1b3c0
hex28a3b65

42613605 has 12 divisors (see below), whose sum is σ = 73863660. Its totient is φ = 22727232.

The previous prime is 42613601. The next prime is 42613609. The reversal of 42613605 is 50631624.

42613605 is a `hidden beast` number, since 42 + 6 + 13 + 605 = 666.

42613605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42613601) and next prime (42613609).

It can be written as a sum of positive squares in 2 ways, for example, as 28708164 + 13905441 = 5358^2 + 3729^2 .

It is not a de Polignac number, because 42613605 - 22 = 42613601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42613601) 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 11 ways as a sum of consecutive naturals, for example, 473440 + ... + 473529.

It is an arithmetic number, because the mean of its divisors is an integer number (6155305).

Almost surely, 242613605 is an apocalyptic number.

42613605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42613605 is a deficient number, since it is larger than the sum of its proper divisors (31250055).

42613605 is a wasteful number, since it uses less digits than its factorization.

42613605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946980 (or 946977 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42613605 is about 6527.9096960666. The cubic root of 42613605 is about 349.2872706934.

The spelling of 42613605 in words is "forty-two million, six hundred thirteen thousand, six hundred five".

Divisors: 1 3 5 9 15 45 946969 2840907 4734845 8522721 14204535 42613605