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664582464 = 263271331409
BaseRepresentation
bin100111100111001…
…011100101000000
31201022112021202100
4213213023211000
52330113114324
6145540150400
722316600130
oct4747134500
91638467670
10664582464
11311159707
12166698400
13a78bb580
1464398ac0
153d5284c9
hex279cb940

664582464 has 336 divisors, whose sum is σ = 2426045440. Its totient is φ = 169205760.

The previous prime is 664582427. The next prime is 664582481. The reversal of 664582464 is 464285466.

664582464 is a `hidden beast` number, since 6 + 6 + 4 + 582 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×6645824642 = 883339702912622592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1624692 + ... + 1625100.

Almost surely, 2664582464 is an apocalyptic number.

664582464 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 664582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213022720).

664582464 is an abundant number, since it is smaller than the sum of its proper divisors (1761462976).

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

664582464 is a wasteful number, since it uses less digits than its factorization.

664582464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 465 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 664582464 is about 25779.4969694911. The cubic root of 664582464 is about 872.6691550314.

The spelling of 664582464 in words is "six hundred sixty-four million, five hundred eighty-two thousand, four hundred sixty-four".