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66411928 = 231117103431
BaseRepresentation
bin1111110101010…
…1110110011000
311121222002001001
43331111312120
5114000140203
610331234344
71434330532
oct375256630
9147862031
1066411928
11345402a0
121a2a89b4
13109b35cb
148b6a852
155c6c91d
hex3f55d98

66411928 has 64 divisors (see below), whose sum is σ = 145566720. Its totient is φ = 28070400.

The previous prime is 66411907. The next prime is 66411937. The reversal of 66411928 is 82911466.

It is a happy number.

It is a congruent number.

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, 153873 + ... + 154303.

It is an arithmetic number, because the mean of its divisors is an integer number (2274480).

Almost surely, 266411928 is an apocalyptic number.

66411928 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66411928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72783360).

66411928 is an abundant number, since it is smaller than the sum of its proper divisors (79154792).

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

66411928 is a wasteful number, since it uses less digits than its factorization.

66411928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 564 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 66411928 is about 8149.3513852331. The cubic root of 66411928 is about 404.9630164877.

The spelling of 66411928 in words is "sixty-six million, four hundred eleven thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 103 136 187 206 374 412 431 748 824 862 1133 1496 1724 1751 2266 3448 3502 4532 4741 7004 7327 9064 9482 14008 14654 18964 19261 29308 37928 38522 44393 58616 77044 80597 88786 154088 161194 177572 322388 355144 488323 644776 754681 976646 1509362 1953292 3018724 3906584 6037448 8301491 16602982 33205964 66411928