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664363456 = 26791011301
BaseRepresentation
bin100111100110010…
…110000111000000
31201022010011022221
4213212112013000
52330034112311
6145531340424
722314665461
oct4746260700
91638104287
10664363456
1131101a109
121665b1714
13a7842993
146433cd68
153d4d3671
hex279961c0

664363456 has 56 divisors (see below), whose sum is σ = 1349288640. Its totient is φ = 324480000.

The previous prime is 664363433. The next prime is 664363463. The reversal of 664363456 is 654363466.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 510006 + ... + 511306.

It is an arithmetic number, because the mean of its divisors is an integer number (24094440).

Almost surely, 2664363456 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 664363456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674644320).

664363456 is an abundant number, since it is smaller than the sum of its proper divisors (684925184).

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

664363456 is a wasteful number, since it uses less digits than its factorization.

664363456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1483 counting only the distinct ones).

The product of its digits is 933120, while the sum is 43.

The square root of 664363456 is about 25775.2489027749. The cubic root of 664363456 is about 872.5732840473.

The spelling of 664363456 in words is "six hundred sixty-four million, three hundred sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 79 101 158 202 316 404 632 808 1264 1301 1616 2528 2602 3232 5056 5204 6464 7979 10408 15958 20816 31916 41632 63832 83264 102779 127664 131401 205558 255328 262802 411116 510656 525604 822232 1051208 1644464 2102416 3288928 4204832 6577856 8409664 10380679 20761358 41522716 83045432 166090864 332181728 664363456