Search a number
-
+
66828041 = 723218047
BaseRepresentation
bin1111111011101…
…1011100001001
311122202012211122
43332323130021
5114101444131
610344205025
71441012640
oct376733411
9148665748
1066828041
11347a4995
121a469775
1310acab27
148c38357
155d00d7b
hex3fbb709

66828041 has 12 divisors (see below), whose sum is σ = 79844352. Its totient is φ = 54787656.

The previous prime is 66828023. The next prime is 66828043. The reversal of 66828041 is 14082866.

It is a de Polignac number, because none of the positive numbers 2k-66828041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66827992 and 66828010.

It is not an unprimeable number, because it can be changed into a prime (66828043) 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, 5321 + ... + 12726.

It is an arithmetic number, because the mean of its divisors is an integer number (6653696).

Almost surely, 266828041 is an apocalyptic number.

It is an amenable number.

66828041 is a deficient number, since it is larger than the sum of its proper divisors (13016311).

66828041 is a wasteful number, since it uses less digits than its factorization.

66828041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18100 (or 18077 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 66828041 is about 8174.8419556588. The cubic root of 66828041 is about 405.8070398389.

The spelling of 66828041 in words is "sixty-six million, eight hundred twenty-eight thousand, forty-one".

Divisors: 1 7 23 161 529 3703 18047 126329 415081 2905567 9546863 66828041