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668573928 = 2332112333623
BaseRepresentation
bin100111110110011…
…010000011101000
31201121001002000100
4213312122003220
52332123331203
6150201505400
722365533061
oct4766320350
91647032010
10668573928
11313435540
12167aa2260
13a8688299
1464b17568
153da65ea3
hex27d9a0e8

668573928 has 96 divisors (see below), whose sum is σ = 1984357440. Its totient is φ = 201672960.

The previous prime is 668573923. The next prime is 668573953. The reversal of 668573928 is 829375866.

It is a happy number.

668573928 is a `hidden beast` number, since 6 + 68 + 573 + 9 + 2 + 8 = 666.

668573928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (668573923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182725 + ... + 186347.

It is an arithmetic number, because the mean of its divisors is an integer number (20670390).

Almost surely, 2668573928 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 668573928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992178720).

668573928 is an abundant number, since it is smaller than the sum of its proper divisors (1315783512).

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

668573928 is a wasteful number, since it uses less digits than its factorization.

668573928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3872 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 668573928 is about 25856.7965533242. The cubic root of 668573928 is about 874.4127446735.

The spelling of 668573928 in words is "six hundred sixty-eight million, five hundred seventy-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 233 264 396 466 699 792 932 1398 1864 2097 2563 2796 3623 4194 5126 5592 7246 7689 8388 10252 10869 14492 15378 16776 20504 21738 23067 28984 30756 32607 39853 43476 46134 61512 65214 79706 86952 92268 119559 130428 159412 184536 239118 260856 318824 358677 478236 717354 844159 956472 1434708 1688318 2532477 2869416 3376636 5064954 6753272 7597431 9285749 10129908 15194862 18571498 20259816 27857247 30389724 37142996 55714494 60779448 74285992 83571741 111428988 167143482 222857976 334286964 668573928