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66035872 = 257294803
BaseRepresentation
bin1111101111101…
…0000010100000
311121020222012001
43323322002200
5113401121442
610315213344
71431203260
oct373720240
9147228161
1066035872
1134303801
121a147254
13108b13a6
148aad7a0
155be62b7
hex3efa0a0

66035872 has 24 divisors (see below), whose sum is σ = 148581216. Its totient is φ = 28300992.

The previous prime is 66035869. The next prime is 66035899. The reversal of 66035872 is 27853066.

66035872 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 3 ways as a sum of consecutive naturals, for example, 147178 + ... + 147625.

It is an arithmetic number, because the mean of its divisors is an integer number (6190884).

Almost surely, 266035872 is an apocalyptic number.

It is an amenable number.

66035872 is an abundant number, since it is smaller than the sum of its proper divisors (82545344).

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

66035872 is a wasteful number, since it uses less digits than its factorization.

66035872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294820 (or 294812 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 66035872 is about 8126.2458737107. The cubic root of 66035872 is about 404.1972046410.

The spelling of 66035872 in words is "sixty-six million, thirty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 294803 589606 1179212 2063621 2358424 4127242 4716848 8254484 9433696 16508968 33017936 66035872