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85545668 = 221361149181
BaseRepresentation
bin1010001100101…
…01001011000100
312221222011121002
411012111023010
5133344430133
612253312432
72056061165
oct506251304
9187864532
1085545668
11443197aa
1224795718
1314952650
14b50b76c
15779bce8
hex51952c4

85545668 has 48 divisors (see below), whose sum is σ = 165874800. Its totient is φ = 38361600.

The previous prime is 85545661. The next prime is 85545697. The reversal of 85545668 is 86654558.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 64770304 + 20775364 = 8048^2 + 4558^2 .

It is a super-2 number, since 2×855456682 = 14636122627132448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85545661) 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 15 ways as a sum of consecutive naturals, for example, 472538 + ... + 472718.

It is an arithmetic number, because the mean of its divisors is an integer number (3455725).

Almost surely, 285545668 is an apocalyptic number.

It is an amenable number.

85545668 is a deficient number, since it is larger than the sum of its proper divisors (80329132).

85545668 is a wasteful number, since it uses less digits than its factorization.

85545668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 406 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 47.

The square root of 85545668 is about 9249.0901174116. The cubic root of 85545668 is about 440.6218274037.

The spelling of 85545668 in words is "eighty-five million, five hundred forty-five thousand, six hundred sixty-eight".

Divisors: 1 2 4 13 26 52 61 122 149 181 244 298 362 596 724 793 1586 1937 2353 3172 3874 4706 7748 9089 9412 11041 18178 22082 26969 36356 44164 53938 107876 118157 143533 236314 287066 350597 472628 574132 701194 1402388 1645109 3290218 6580436 21386417 42772834 85545668