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66053268 = 22321834813
BaseRepresentation
bin1111101111111…
…0010010010100
311121021212001100
43323332102110
5113402201033
610315430100
71431305061
oct373762224
9147255040
1066053268
1134315886
121a155330
13108b9298
148ab5c68
155beb513
hex3efe494

66053268 has 18 divisors (see below), whose sum is σ = 166968074. Its totient is φ = 22017744.

The previous prime is 66053261. The next prime is 66053287. The reversal of 66053268 is 86235066.

66053268 is a `hidden beast` number, since 6 + 60 + 532 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34715664 + 31337604 = 5892^2 + 5598^2 .

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: 1834813 = 66053268 / (6 + 6 + 0 + 5 + 3 + 2 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66053261) 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, 917371 + ... + 917442.

Almost surely, 266053268 is an apocalyptic number.

It is an amenable number.

66053268 is an abundant number, since it is smaller than the sum of its proper divisors (100914806).

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

66053268 is a wasteful number, since it uses less digits than its factorization.

66053268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834823 (or 1834818 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 66053268 is about 8127.3161621780. The cubic root of 66053268 is about 404.2326944287.

The spelling of 66053268 in words is "sixty-six million, fifty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1834813 3669626 5504439 7339252 11008878 16513317 22017756 33026634 66053268