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42637205 = 513769853
BaseRepresentation
bin1010001010100…
…1011110010101
32222020012020202
42202221132111
541403342310
64121510245
71025260502
oct242513625
988205222
1042637205
1122081a66
1212342385
138aab020
14593c4a9
153b233a5
hex28a9795

42637205 has 16 divisors (see below), whose sum is σ = 55236720. Its totient is φ = 31408128.

The previous prime is 42637201. The next prime is 42637211. The reversal of 42637205 is 50273624.

42637205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 13293316 + 29343889 = 3646^2 + 5417^2 .

It is a cyclic number.

It is not a de Polignac number, because 42637205 - 22 = 42637201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42637201) 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, 49559 + ... + 50411.

It is an arithmetic number, because the mean of its divisors is an integer number (3452295).

Almost surely, 242637205 is an apocalyptic number.

It is an amenable number.

42637205 is a deficient number, since it is larger than the sum of its proper divisors (12599515).

42637205 is a wasteful number, since it uses less digits than its factorization.

42637205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640.

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 42637205 is about 6529.7170689089. The cubic root of 42637205 is about 349.3517388238.

The spelling of 42637205 in words is "forty-two million, six hundred thirty-seven thousand, two hundred five".

Divisors: 1 5 13 65 769 853 3845 4265 9997 11089 49985 55445 655957 3279785 8527441 42637205