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66385296 = 2432461009
BaseRepresentation
bin1111110100111…
…1010110010000
311121220201111200
43331033112100
5113443312141
610330511200
71434160065
oct375172620
9147821450
1066385296
113452228a
121a295500
13109a4453
148b60c6c
155c64ab6
hex3f4f590

66385296 has 30 divisors (see below), whose sum is σ = 185787030. Its totient is φ = 22128384.

The previous prime is 66385283. The next prime is 66385301. The reversal of 66385296 is 69258366.

It is a happy number.

66385296 is a `hidden beast` number, since 6 + 638 + 5 + 2 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48441600 + 17943696 = 6960^2 + 4236^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 230361 + ... + 230648.

It is an arithmetic number, because the mean of its divisors is an integer number (6192901).

Almost surely, 266385296 is an apocalyptic number.

It is an amenable number.

66385296 is an abundant number, since it is smaller than the sum of its proper divisors (119401734).

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

66385296 is a wasteful number, since it uses less digits than its factorization.

66385296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461023 (or 461014 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 66385296 is about 8147.7172263156. The cubic root of 66385296 is about 404.9088775334.

The spelling of 66385296 in words is "sixty-six million, three hundred eighty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 461009 922018 1383027 1844036 2766054 3688072 4149081 5532108 7376144 8298162 11064216 16596324 22128432 33192648 66385296