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664832 = 287253
BaseRepresentation
bin10100010010100000000
31020202222102
42202110000
5132233312
622125532
75436200
oct2422400
91222872
10664832
11414553
122808a8
131a37bc
14134400
15d1ec2
hexa2500

664832 has 54 divisors (see below), whose sum is σ = 1572858. Its totient is φ = 279552.

The previous prime is 664799. The next prime is 664843. The reversal of 664832 is 238466.

It can be written as a sum of positive squares in only one way, i.e., 614656 + 50176 = 784^2 + 224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 664795 and 664804.

It is a congruent number.

It is an unprimeable number.

664832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12518 + ... + 12570.

It is an arithmetic number, because the mean of its divisors is an integer number (29127).

2664832 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 664832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786429).

664832 is an abundant number, since it is smaller than the sum of its proper divisors (908026).

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

664832 is an equidigital number, since it uses as much as digits as its factorization.

664832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 664832 is about 815.3723075994. The cubic root of 664832 is about 87.2778364012.

The spelling of 664832 in words is "six hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 128 196 212 224 256 371 392 424 448 742 784 848 896 1484 1568 1696 1792 2597 2968 3136 3392 5194 5936 6272 6784 10388 11872 12544 13568 20776 23744 41552 47488 83104 94976 166208 332416 664832