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66005448 = 23331791123
BaseRepresentation
bin1111101111001…
…0100111001000
311121012102110020
43323302213020
5113344133243
610314420440
71431015465
oct373624710
9147172406
1066005448
1134292963
121a131720
13108a05a2
148aa266c
155bdc283
hex3ef29c8

66005448 has 64 divisors (see below), whose sum is σ = 172646400. Its totient is φ = 21003840.

The previous prime is 66005389. The next prime is 66005453. The reversal of 66005448 is 84450066.

It is a happy 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, 58215 + ... + 59337.

It is an arithmetic number, because the mean of its divisors is an integer number (2697600).

Almost surely, 266005448 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 66005448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86323200).

66005448 is an abundant number, since it is smaller than the sum of its proper divisors (106640952).

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

66005448 is a wasteful number, since it uses less digits than its factorization.

66005448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 66005448 is about 8124.3736989383. The cubic root of 66005448 is about 404.1351212894.

The spelling of 66005448 in words is "sixty-six million, five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 79 93 124 158 186 237 248 316 372 474 632 744 948 1123 1896 2246 2449 3369 4492 4898 6738 7347 8984 9796 13476 14694 19592 26952 29388 34813 58776 69626 88717 104439 139252 177434 208878 266151 278504 354868 417756 532302 709736 835512 1064604 2129208 2750227 5500454 8250681 11000908 16501362 22001816 33002724 66005448