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66848028 = 223132331601
BaseRepresentation
bin1111111100000…
…0010100011100
311122210020020220
43333000110130
5114103114103
610344441340
71441125132
oct377002434
9148706226
1066848028
1134808a05
121a479250
1310b06c60
148c41752
155d06c53
hex3fc051c

66848028 has 96 divisors (see below), whose sum is σ = 181235712. Its totient is φ = 19008000.

The previous prime is 66847993. The next prime is 66848039. The reversal of 66848028 is 82084866.

66848028 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 31 ways as a sum of consecutive naturals, for example, 110928 + ... + 111528.

It is an arithmetic number, because the mean of its divisors is an integer number (1887872).

Almost surely, 266848028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66848028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90617856).

66848028 is an abundant number, since it is smaller than the sum of its proper divisors (114387684).

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

66848028 is a wasteful number, since it uses less digits than its factorization.

66848028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 66848028 is about 8176.0643343849. The cubic root of 66848028 is about 405.8474922034.

The spelling of 66848028 in words is "sixty-six million, eight hundred forty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 13 23 26 31 39 46 52 62 69 78 92 93 124 138 156 186 276 299 372 403 598 601 713 806 897 1196 1202 1209 1426 1612 1794 1803 2139 2404 2418 2852 3588 3606 4278 4836 7212 7813 8556 9269 13823 15626 18538 18631 23439 27646 27807 31252 37076 37262 41469 46878 55292 55614 55893 74524 82938 93756 111228 111786 165876 179699 223572 242203 359398 428513 484406 539097 718796 726609 857026 968812 1078194 1285539 1453218 1714052 2156388 2571078 2906436 5142156 5570669 11141338 16712007 22282676 33424014 66848028