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66004484 = 22713434217
BaseRepresentation
bin1111101111001…
…0011000000100
311121012101010112
43323302120010
5113344120414
610314412152
71431012620
oct373623004
9147171115
1066004484
1134292167
121a131058
13108a0010
148aa2180
155bdbd3e
hex3ef2604

66004484 has 48 divisors (see below), whose sum is σ = 145504128. Its totient is φ = 25498368.

The previous prime is 66004459. The next prime is 66004507. The reversal of 66004484 is 48440066.

66004484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×660044843 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66004484.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13544 + ... + 17760.

It is an arithmetic number, because the mean of its divisors is an integer number (3031336).

Almost surely, 266004484 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 66004484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72752064).

66004484 is an abundant number, since it is smaller than the sum of its proper divisors (79499644).

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

66004484 is a wasteful number, since it uses less digits than its factorization.

66004484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 66004484 is about 8124.3143710716. The cubic root of 66004484 is about 404.1331538349.

The spelling of 66004484 in words is "sixty-six million, four thousand, four hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 43 52 86 91 172 182 301 364 559 602 1118 1204 2236 3913 4217 7826 8434 15652 16868 29519 54821 59038 109642 118076 181331 219284 362662 383747 725324 767494 1269317 1534988 2357303 2538634 4714606 5077268 9429212 16501121 33002242 66004484