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66483200 = 210527253
BaseRepresentation
bin1111110110011…
…1010000000000
311122002200210202
43331213100000
5114004430300
610332544332
71435045400
oct375472000
9148080722
1066483200
11345898a3
121a3220a8
1310a09b94
148b88800
155c83ad5
hex3f67400

66483200 has 198 divisors, whose sum is σ = 195320646. Its totient is φ = 22364160.

The previous prime is 66483187. The next prime is 66483233. The reversal of 66483200 is 238466.

It can be written as a sum of positive squares in 3 ways, for example, as 8479744 + 58003456 = 2912^2 + 7616^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1254374 + ... + 1254426.

Almost surely, 266483200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97660323).

66483200 is an abundant number, since it is smaller than the sum of its proper divisors (128837446).

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

66483200 is a wasteful number, since it uses less digits than its factorization.

66483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 66483200 is about 8153.7230759942. The cubic root of 66483200 is about 405.1078308618.

The spelling of 66483200 in words is "sixty-six million, four hundred eighty-three thousand, two hundred".