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66648078 = 232731113151
BaseRepresentation
bin1111111000111…
…1100000001110
311122102001222100
43332033200032
5114030214303
610340255530
71436333160
oct376174016
9148361870
1066648078
1134691762
121a3a15a6
1310a66c43
148bcc930
155cb78a3
hex3f8f80e

66648078 has 96 divisors (see below), whose sum is σ = 173002752. Its totient is φ = 18144000.

The previous prime is 66648073. The next prime is 66648079. The reversal of 66648078 is 87084666.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66648073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441303 + ... + 441453.

It is an arithmetic number, because the mean of its divisors is an integer number (1802112).

Almost surely, 266648078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66648078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86501376).

66648078 is an abundant number, since it is smaller than the sum of its proper divisors (106354674).

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

66648078 is a wasteful number, since it uses less digits than its factorization.

66648078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 66648078 is about 8163.8274112085. The cubic root of 66648078 is about 405.4424428598.

The spelling of 66648078 in words is "sixty-six million, six hundred forty-eight thousand, seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 113 126 151 186 217 226 279 302 339 434 453 558 651 678 791 906 1017 1057 1302 1359 1582 1953 2034 2114 2373 2718 3171 3503 3906 4681 4746 6342 7006 7119 9362 9513 10509 14043 14238 17063 19026 21018 24521 28086 31527 32767 34126 42129 49042 51189 63054 65534 73563 84258 98301 102378 119441 147126 153567 196602 220689 238882 294903 307134 358323 441378 528953 589806 716646 1057906 1074969 1586859 2149938 3173718 3702671 4760577 7405342 9521154 11108013 22216026 33324039 66648078