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66704448 = 2631033373
BaseRepresentation
bin1111111001110…
…1010001000000
311122111221022010
43332131101000
5114034020243
610341412520
71436656416
oct376352100
9148457263
1066704448
1134720048
121a40a140
1310a867b5
148c052b6
155cc9433
hex3f9d440

66704448 has 56 divisors (see below), whose sum is σ = 178255168. Its totient is φ = 22012416.

The previous prime is 66704441. The next prime is 66704471. The reversal of 66704448 is 84440766.

66704448 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 (66704441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18090 + ... + 21462.

It is an arithmetic number, because the mean of its divisors is an integer number (3183128).

Almost surely, 266704448 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 66704448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89127584).

66704448 is an abundant number, since it is smaller than the sum of its proper divisors (111550720).

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

66704448 is a wasteful number, since it uses less digits than its factorization.

66704448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 66704448 is about 8167.2791062875. The cubic root of 66704448 is about 405.5567164733.

The spelling of 66704448 in words is "sixty-six million, seven hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1236 1648 2472 3296 3373 4944 6592 6746 9888 10119 13492 19776 20238 26984 40476 53968 80952 107936 161904 215872 323808 347419 647616 694838 1042257 1389676 2084514 2779352 4169028 5558704 8338056 11117408 16676112 22234816 33352224 66704448