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66628144 = 2411378569
BaseRepresentation
bin1111111000101…
…0101000110000
311122101001122001
43332022220300
5114024100034
610340023344
71436221102
oct376125060
9148331561
1066628144
1134678790
121a391b54
1310a5ab4b
148bc5572
155cb1a14
hex3f8aa30

66628144 has 20 divisors (see below), whose sum is σ = 140828040. Its totient is φ = 30285440.

The previous prime is 66628141. The next prime is 66628183. The reversal of 66628144 is 44182666.

66628144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66628141) 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, 189109 + ... + 189460.

It is an arithmetic number, because the mean of its divisors is an integer number (7041402).

Almost surely, 266628144 is an apocalyptic number.

It is an amenable number.

66628144 is an abundant number, since it is smaller than the sum of its proper divisors (74199896).

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

66628144 is a wasteful number, since it uses less digits than its factorization.

66628144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378588 (or 378582 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 66628144 is about 8162.6064464728. The cubic root of 66628144 is about 405.4020171101.

The spelling of 66628144 in words is "sixty-six million, six hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 378569 757138 1514276 3028552 4164259 6057104 8328518 16657036 33314072 66628144