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66312252 = 22324144927
BaseRepresentation
bin1111110011110…
…1100000111100
311121210000022100
43330331200330
5113433443002
610325145100
71433434116
oct374754074
9147700270
1066312252
1134482416
121a25b190
131097a126
148b423b6
155c4d11c
hex3f3d83c

66312252 has 36 divisors (see below), whose sum is σ = 171714816. Its totient is φ = 21564480.

The previous prime is 66312199. The next prime is 66312271. The reversal of 66312252 is 25221366.

66312252 is a `hidden beast` number, since 6 + 631 + 2 + 25 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20988 + ... + 23939.

It is an arithmetic number, because the mean of its divisors is an integer number (4769856).

Almost surely, 266312252 is an apocalyptic number.

It is an amenable number.

66312252 is an abundant number, since it is smaller than the sum of its proper divisors (105402564).

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

66312252 is a wasteful number, since it uses less digits than its factorization.

66312252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44978 (or 44973 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 66312252 is about 8143.2335100990. The cubic root of 66312252 is about 404.7603154267.

It can be divided in two parts, 66312 and 252, that added together give a square (66564 = 2582).

The spelling of 66312252 in words is "sixty-six million, three hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 44927 89854 134781 179708 269562 404343 539124 808686 1617372 1842007 3684014 5526021 7368028 11052042 16578063 22104084 33156126 66312252