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42647661 = 3372931251
BaseRepresentation
bin1010001010110…
…0000001101101
32222020201121000
42202230001231
541404211121
64122030513
71025333130
oct242540155
988221530
1042647661
1122089901
1212348439
138ab2a04
145942217
153b26526
hex28ac06d

42647661 has 64 divisors (see below), whose sum is σ = 77414400. Its totient is φ = 22680000.

The previous prime is 42647639. The next prime is 42647677. The reversal of 42647661 is 16674624.

42647661 is a `hidden beast` number, since 4 + 2 + 647 + 6 + 6 + 1 = 666.

It is not a de Polignac number, because 42647661 - 25 = 42647629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42647161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169786 + ... + 170036.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 242647661 is an apocalyptic number.

It is an amenable number.

42647661 is a deficient number, since it is larger than the sum of its proper divisors (34766739).

42647661 is a wasteful number, since it uses less digits than its factorization.

42647661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 42647661 is about 6530.5176670766. The cubic root of 42647661 is about 349.3802938790.

The spelling of 42647661 in words is "forty-two million, six hundred forty-seven thousand, six hundred sixty-one".

Divisors: 1 3 7 9 21 27 29 31 63 87 93 189 203 217 251 261 279 609 651 753 783 837 899 1757 1827 1953 2259 2697 5271 5481 5859 6293 6777 7279 7781 8091 15813 18879 21837 23343 24273 47439 50953 54467 56637 65511 70029 152859 163401 169911 196533 210087 225649 458577 490203 676947 1375731 1470609 1579543 2030841 4738629 6092523 14215887 42647661