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66327424 = 271912713
BaseRepresentation
bin1111110100000…
…1001110000000
311121210210010021
43331001032000
5113434434144
610325343224
71433526262
oct375011600
9147723107
1066327424
1134492859
121a267b14
1310983cc7
148b47b32
155c52884
hex3f41380

66327424 has 32 divisors (see below), whose sum is σ = 132877440. Its totient is φ = 32977920.

The previous prime is 66327413. The next prime is 66327427. The reversal of 66327424 is 42472366.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 66327424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66327427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23092 + ... + 25804.

It is an arithmetic number, because the mean of its divisors is an integer number (4152420).

Almost surely, 266327424 is an apocalyptic number.

66327424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66438720).

66327424 is an abundant number, since it is smaller than the sum of its proper divisors (66550016).

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

66327424 is a wasteful number, since it uses less digits than its factorization.

66327424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2906 counting only the distinct ones).

The product of its digits is 48384, while the sum is 34.

The square root of 66327424 is about 8144.1650277975. The cubic root of 66327424 is about 404.7911822979.

The spelling of 66327424 in words is "sixty-six million, three hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 191 382 764 1528 2713 3056 5426 6112 10852 12224 21704 24448 43408 86816 173632 347264 518183 1036366 2072732 4145464 8290928 16581856 33163712 66327424