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66828064 = 25232931101
BaseRepresentation
bin1111111011101…
…1011100100000
311122202012212111
43332323130200
5114101444224
610344205104
71441013002
oct376733440
9148665774
1066828064
11347a4a06
121a469794
1310acab44
148c38372
155d00d94
hex3fbb720

66828064 has 96 divisors (see below), whose sum is σ = 148055040. Its totient is φ = 29568000.

The previous prime is 66828059. The next prime is 66828079. The reversal of 66828064 is 46082866.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661614 + ... + 661714.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 266828064 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 66828064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74027520).

66828064 is an abundant number, since it is smaller than the sum of its proper divisors (81226976).

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

66828064 is a wasteful number, since it uses less digits than its factorization.

66828064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 66828064 is about 8174.8433624137. The cubic root of 66828064 is about 405.8070863940.

The spelling of 66828064 in words is "sixty-six million, eight hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 23 29 31 32 46 58 62 92 101 116 124 184 202 232 248 368 404 464 496 667 713 736 808 899 928 992 1334 1426 1616 1798 2323 2668 2852 2929 3131 3232 3596 4646 5336 5704 5858 6262 7192 9292 10672 11408 11716 12524 14384 18584 20677 21344 22816 23432 25048 28768 37168 41354 46864 50096 67367 72013 74336 82708 90799 93728 100192 134734 144026 165416 181598 269468 288052 330832 363196 538936 576104 661664 726392 1077872 1152208 1452784 2088377 2155744 2304416 2905568 4176754 8353508 16707016 33414032 66828064