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42657201 = 324739689
BaseRepresentation
bin1010001010111…
…0010110110001
32222021012200100
42202232112301
541410012301
64122143013
71025403006
oct242562661
988235610
1042657201
1122095a94
1212351a69
138ab7162
1459458ad
153b29286
hex28ae5b1

42657201 has 6 divisors (see below), whose sum is σ = 61615970. Its totient is φ = 28438128.

The previous prime is 42657193. The next prime is 42657217. The reversal of 42657201 is 10275624.

42657201 is a `hidden beast` number, since 4 + 2 + 657 + 2 + 0 + 1 = 666.

42657201 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 only one way, i.e., 22810176 + 19847025 = 4776^2 + 4455^2 .

It is not a de Polignac number, because 42657201 - 23 = 42657193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42657221) 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 5 ways as a sum of consecutive naturals, for example, 2369836 + ... + 2369853.

Almost surely, 242657201 is an apocalyptic number.

It is an amenable number.

42657201 is a deficient number, since it is larger than the sum of its proper divisors (18958769).

42657201 is a wasteful number, since it uses less digits than its factorization.

42657201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739695 (or 4739692 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42657201 is about 6531.2480430619. The cubic root of 42657201 is about 349.4063432912.

The spelling of 42657201 in words is "forty-two million, six hundred fifty-seven thousand, two hundred one".

Divisors: 1 3 9 4739689 14219067 42657201