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66423584 = 253756101
BaseRepresentation
bin1111110101100…
…0101100100000
311121222200000202
43331120230200
5114001023314
610331404332
71434406523
oct375305440
9147880022
1066423584
1134549027
121a2b36a8
13109b89c6
148b70bba
155c710de
hex3f58b20

66423584 has 24 divisors (see below), whose sum is σ = 134308188. Its totient is φ = 32313600.

The previous prime is 66423583. The next prime is 66423589. The reversal of 66423584 is 48532466.

66423584 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 2 ways, for example, as 60528400 + 5895184 = 7780^2 + 2428^2 .

It is a super-2 number, since 2×664235842 = 8824185022810112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66423583) 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 3 ways as a sum of consecutive naturals, for example, 26867 + ... + 29234.

Almost surely, 266423584 is an apocalyptic number.

It is an amenable number.

66423584 is an abundant number, since it is smaller than the sum of its proper divisors (67884604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66423584 is a wasteful number, since it uses less digits than its factorization.

66423584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56148 (or 56140 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The square root of 66423584 is about 8150.0665027962. The cubic root of 66423584 is about 404.9867068746.

The spelling of 66423584 in words is "sixty-six million, four hundred twenty-three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 56101 112202 224404 448808 897616 1795232 2075737 4151474 8302948 16605896 33211792 66423584