Search a number
-
+
66434652 = 22325334819
BaseRepresentation
bin1111110101101…
…1011001011100
311122000020012200
43331123121130
5114001402102
610331531500
71434454014
oct375333134
9148006180
1066434652
1134556379
121a2b9b90
13109c0a5b
148b74c44
155c7451c
hex3f5b65c

66434652 has 36 divisors (see below), whose sum is σ = 171105480. Its totient is φ = 21726432.

The previous prime is 66434651. The next prime is 66434677. The reversal of 66434652 is 25643466.

66434652 is a `hidden beast` number, since 6 + 643 + 4 + 6 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×664346522 = 8827125972722208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66434651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15502 + ... + 19317.

It is an arithmetic number, because the mean of its divisors is an integer number (4752930).

Almost surely, 266434652 is an apocalyptic number.

It is an amenable number.

66434652 is an abundant number, since it is smaller than the sum of its proper divisors (104670828).

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

66434652 is a wasteful number, since it uses less digits than its factorization.

66434652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34882 (or 34877 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 66434652 is about 8150.7454873772. The cubic root of 66434652 is about 405.0091996081.

The spelling of 66434652 in words is "sixty-six million, four hundred thirty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 34819 69638 104457 139276 208914 313371 417828 626742 1253484 1845407 3690814 5536221 7381628 11072442 16608663 22144884 33217326 66434652