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66080448 = 26357607
BaseRepresentation
bin1111110000010…
…0111011000000
311121100020100000
43330010323000
5113404033243
610320200000
71431450240
oct374047300
9147306300
1066080448
1134334245
121a169000
13108c8775
148ac1b20
155c045d3
hex3f04ec0

66080448 has 168 divisors, whose sum is σ = 224852992. Its totient is φ = 18849024.

The previous prime is 66080447. The next prime is 66080459. The reversal of 66080448 is 84408066.

66080448 is a `hidden beast` number, since 6 + 608 + 0 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66080447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108561 + ... + 109167.

Almost surely, 266080448 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 66080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112426496).

66080448 is an abundant number, since it is smaller than the sum of its proper divisors (158772544).

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

66080448 is an equidigital number, since it uses as much as digits as its factorization.

66080448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 66080448 is about 8128.9881289125. The cubic root of 66080448 is about 404.2881322004.

The spelling of 66080448 in words is "sixty-six million, eighty thousand, four hundred forty-eight".