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42201657 = 327436311
BaseRepresentation
bin1010000011111…
…1001000111001
32221102001210100
42200333020321
541300423112
64104310013
71021464621
oct240771071
987361710
1042201657
1121904803
1212172309
1389879c4
145867881
153a892dc
hex283f239

42201657 has 12 divisors (see below), whose sum is σ = 61049664. Its totient is φ = 28092120.

The previous prime is 42201647. The next prime is 42201661. The reversal of 42201657 is 75610224.

42201657 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 1 + 657 = 666.

42201657 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 42201657 - 211 = 42199609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42201657.

It is not an unprimeable number, because it can be changed into a prime (42201647) 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, 3532 + ... + 9842.

It is an arithmetic number, because the mean of its divisors is an integer number (5087472).

Almost surely, 242201657 is an apocalyptic number.

It is an amenable number.

42201657 is a deficient number, since it is larger than the sum of its proper divisors (18848007).

42201657 is a wasteful number, since it uses less digits than its factorization.

42201657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7060 (or 7057 counting only the distinct ones).

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

The square root of 42201657 is about 6496.2802433393. The cubic root of 42201657 is about 348.1580980020.

The spelling of 42201657 in words is "forty-two million, two hundred one thousand, six hundred fifty-seven".

Divisors: 1 3 9 743 2229 6311 6687 18933 56799 4689073 14067219 42201657