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66525472 = 2513433719
BaseRepresentation
bin1111110111000…
…1100100100000
311122011211210101
43331301210200
5114012303342
610333512144
71435312546
oct375614440
9148154711
1066525472
1134608632
121a342654
1310a231b0
148b99d96
155c913b7
hex3f71920

66525472 has 48 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 29981952.

The previous prime is 66525467. The next prime is 66525523. The reversal of 66525472 is 27452566.

66525472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16029 + ... + 19747.

It is an arithmetic number, because the mean of its divisors is an integer number (3007620).

Almost surely, 266525472 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 66525472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

66525472 is an abundant number, since it is smaller than the sum of its proper divisors (77840288).

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

66525472 is a wasteful number, since it uses less digits than its factorization.

66525472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3777 counting only the distinct ones).

The product of its digits is 100800, while the sum is 37.

The square root of 66525472 is about 8156.3148541483. The cubic root of 66525472 is about 405.1936725484.

The spelling of 66525472 in words is "sixty-six million, five hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 172 208 344 416 559 688 1118 1376 2236 3719 4472 7438 8944 14876 17888 29752 48347 59504 96694 119008 159917 193388 319834 386776 639668 773552 1279336 1547104 2078921 2558672 4157842 5117344 8315684 16631368 33262736 66525472