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66527408 = 2423293617
BaseRepresentation
bin1111110111001…
…0000010110000
311122011221110002
43331302002300
5114012334113
610333525132
71435321313
oct375620260
9148157402
1066527408
113460a032
121a3437a8
1310a2403c
148b9a97a
155c91c58
hex3f720b0

66527408 has 40 divisors (see below), whose sum is σ = 135178848. Its totient is φ = 31657472.

The previous prime is 66527389. The next prime is 66527413. The reversal of 66527408 is 80472566.

It is a happy number.

66527408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×665274083 (a number of 24 digits) contains 333 as substring.

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, 107516 + ... + 108132.

Almost surely, 266527408 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 66527408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67589424).

66527408 is an abundant number, since it is smaller than the sum of its proper divisors (68651440).

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

66527408 is a wasteful number, since it uses less digits than its factorization.

66527408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 66527408 is about 8156.4335343335. The cubic root of 66527408 is about 405.1976031097.

The spelling of 66527408 in words is "sixty-six million, five hundred twenty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 23 46 92 184 293 368 586 617 1172 1234 2344 2468 4688 4936 6739 9872 13478 14191 26956 28382 53912 56764 107824 113528 180781 227056 361562 723124 1446248 2892496 4157963 8315926 16631852 33263704 66527408