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664284192 = 253112135383
BaseRepresentation
bin100111100110000…
…010110000100000
31201021222010121020
4213212002300200
52330024043232
6145525525440
722314215415
oct4746026040
91637863536
10664284192
11310a75600
12166573880
13a7815890
146431c10c
153d4b9e2c
hex27982c20

664284192 has 288 divisors, whose sum is σ = 2128400064. Its totient is φ = 180111360.

The previous prime is 664284161. The next prime is 664284209. The reversal of 664284192 is 291482466.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8003383 + ... + 8003465.

It is an arithmetic number, because the mean of its divisors is an integer number (7390278).

Almost surely, 2664284192 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 664284192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064200032).

664284192 is an abundant number, since it is smaller than the sum of its proper divisors (1464115872).

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

664284192 is a wasteful number, since it uses less digits than its factorization.

664284192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 165 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 664284192 is about 25773.7112577913. The cubic root of 664284192 is about 872.5385809548.

The spelling of 664284192 in words is "six hundred sixty-four million, two hundred eighty-four thousand, one hundred ninety-two".