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66114272 = 257295153
BaseRepresentation
bin1111110000110…
…1001011100000
311121101221201202
43330031023200
5113411124042
610321020332
71431650660
oct374151340
9147357652
1066114272
11343576a4
121a1846a8
131090ac93
148ad01a0
155c0e632
hex3f0d2e0

66114272 has 24 divisors (see below), whose sum is σ = 148757616. Its totient is φ = 28334592.

The previous prime is 66114247. The next prime is 66114283. The reversal of 66114272 is 27241166.

66114272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 147353 + ... + 147800.

It is an arithmetic number, because the mean of its divisors is an integer number (6198234).

Almost surely, 266114272 is an apocalyptic number.

It is an amenable number.

66114272 is an abundant number, since it is smaller than the sum of its proper divisors (82643344).

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

66114272 is a wasteful number, since it uses less digits than its factorization.

66114272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295170 (or 295162 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 66114272 is about 8131.0683184930. The cubic root of 66114272 is about 404.3571002017.

The spelling of 66114272 in words is "sixty-six million, one hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 295153 590306 1180612 2066071 2361224 4132142 4722448 8264284 9444896 16528568 33057136 66114272