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66092768 = 257261691
BaseRepresentation
bin1111110000011…
…1111011100000
311121100212020022
43330013323200
5113404432033
610320333012
71431531200
oct374077340
9147325208
1066092768
1134342525
121a174168
1310901261
148ac6400
155c08098
hex3f07ee0

66092768 has 72 divisors (see below), whose sum is σ = 154068264. Its totient is φ = 27820800.

The previous prime is 66092737. The next prime is 66092771. The reversal of 66092768 is 86729066.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95303 + ... + 95993.

It is an arithmetic number, because the mean of its divisors is an integer number (2139837).

Almost surely, 266092768 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 66092768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77034132).

66092768 is an abundant number, since it is smaller than the sum of its proper divisors (87975496).

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

66092768 is a wasteful number, since it uses less digits than its factorization.

66092768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 66092768 is about 8129.7458754871. The cubic root of 66092768 is about 404.3132557199.

The spelling of 66092768 in words is "sixty-six million, ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 98 112 122 196 224 244 392 427 488 691 784 854 976 1382 1568 1708 1952 2764 2989 3416 4837 5528 5978 6832 9674 11056 11956 13664 19348 22112 23912 33859 38696 42151 47824 67718 77392 84302 95648 135436 154784 168604 270872 295057 337208 541744 590114 674416 1083488 1180228 1348832 2065399 2360456 4130798 4720912 8261596 9441824 16523192 33046384 66092768