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64185444 = 22321782929
BaseRepresentation
bin1111010011011…
…0010001100100
311110202221212200
43310312101210
5112412413234
610211414500
71406365401
oct364662144
9143687780
1064185444
113325a524
12195b4430
13103b406b
14874b2a8
15597cd99
hex3d36464

64185444 has 18 divisors (see below), whose sum is σ = 162246630. Its totient is φ = 21395136.

The previous prime is 64185427. The next prime is 64185449. The reversal of 64185444 is 44458146.

It is a happy number.

64185444 is a `hidden beast` number, since 641 + 8 + 5 + 4 + 4 + 4 = 666.

64185444 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., 45158400 + 19027044 = 6720^2 + 4362^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1782929 = 64185444 / (6 + 4 + 1 + 8 + 5 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 64185399 and 64185408.

It is not an unprimeable number, because it can be changed into a prime (64185449) 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, 891429 + ... + 891500.

Almost surely, 264185444 is an apocalyptic number.

It is an amenable number.

64185444 is an abundant number, since it is smaller than the sum of its proper divisors (98061186).

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

64185444 is a wasteful number, since it uses less digits than its factorization.

64185444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782939 (or 1782934 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 64185444 is about 8011.5818662734. The cubic root of 64185444 is about 400.3859691165.

The spelling of 64185444 in words is "sixty-four million, one hundred eighty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1782929 3565858 5348787 7131716 10697574 16046361 21395148 32092722 64185444