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66440772 = 22321845577
BaseRepresentation
bin1111110101110…
…0111001000100
311122000112121100
43331130321010
5114002101042
610332020100
71434510606
oct375347104
9148015540
1066440772
113455aa32
121a301630
13109c3788
148b77176
155c7624c
hex3f5ce44

66440772 has 18 divisors (see below), whose sum is σ = 167947598. Its totient is φ = 22146912.

The previous prime is 66440771. The next prime is 66440779. The reversal of 66440772 is 27704466.

66440772 is a `hidden beast` number, since 6 + 644 + 0 + 7 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61214976 + 5225796 = 7824^2 + 2286^2 .

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: 1845577 = 66440772 / (6 + 6 + 4 + 4 + 0 + 7 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (66440771) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 922753 + ... + 922824.

Almost surely, 266440772 is an apocalyptic number.

It is an amenable number.

66440772 is an abundant number, since it is smaller than the sum of its proper divisors (101506826).

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

66440772 is a wasteful number, since it uses less digits than its factorization.

66440772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845587 (or 1845582 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 66440772 is about 8151.1209045137. The cubic root of 66440772 is about 405.0216357897.

The spelling of 66440772 in words is "sixty-six million, four hundred forty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 1845577 3691154 5536731 7382308 11073462 16610193 22146924 33220386 66440772