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66526064 = 24111911979
BaseRepresentation
bin1111110111000…
…1101101110000
311122011212121022
43331301231300
5114012313224
610333515012
71435314353
oct375615560
9148155538
1066526064
1134609020
121a342a68
1310a23547
148b9a29a
155c9165e
hex3f71b70

66526064 has 40 divisors (see below), whose sum is σ = 141419520. Its totient is φ = 30065600.

The previous prime is 66526039. The next prime is 66526069. The reversal of 66526064 is 46062566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66526069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32627 + ... + 34605.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 266526064 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 66526064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

66526064 is an abundant number, since it is smaller than the sum of its proper divisors (74893456).

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

66526064 is a wasteful number, since it uses less digits than its factorization.

66526064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 66526064 is about 8156.3511449667. The cubic root of 66526064 is about 405.1948744636.

The spelling of 66526064 in words is "sixty-six million, five hundred twenty-six thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 191 382 764 1528 1979 2101 3056 3958 4202 7916 8404 15832 16808 21769 31664 33616 43538 87076 174152 348304 377989 755978 1511956 3023912 4157879 6047824 8315758 16631516 33263032 66526064