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66216042 = 235136247
BaseRepresentation
bin1111110010011…
…0000001101010
311121121010100000
43330212001222
5113422403132
610323123430
71432553454
oct374460152
9147533300
1066216042
1134417102
121a213576
13109453b9
148b192d4
155c2e87c
hex3f2606a

66216042 has 24 divisors (see below), whose sum is σ = 148782816. Its totient is φ = 22071852.

The previous prime is 66216041. The next prime is 66216053. The reversal of 66216042 is 24061266.

It is a happy number.

66216042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 66215997 and 66216015.

It is not an unprimeable number, because it can be changed into a prime (66216041) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 67638 + ... + 68609.

It is an arithmetic number, because the mean of its divisors is an integer number (6199284).

Almost surely, 266216042 is an apocalyptic number.

66216042 is an abundant number, since it is smaller than the sum of its proper divisors (82566774).

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

66216042 is a wasteful number, since it uses less digits than its factorization.

66216042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136264 (or 136252 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66216042 is about 8137.3240073135. The cubic root of 66216042 is about 404.5644700782.

The spelling of 66216042 in words is "sixty-six million, two hundred sixteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 136247 272494 408741 817482 1226223 2452446 3678669 7357338 11036007 22072014 33108021 66216042