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664031232 = 2123218013
BaseRepresentation
bin100111100101000…
…101000000000000
31201021111021121100
4213211011000000
52324442444412
6145520254400
722312113054
oct4745050000
91637437540
10664031232
11310912547
12166471400
13a77576b7
1464293c64
153d469edc
hex27945000

664031232 has 78 divisors (see below), whose sum is σ = 1918184762. Its totient is φ = 221331456.

The previous prime is 664031227. The next prime is 664031233. The reversal of 664031232 is 232130466.

664031232 is a `hidden beast` number, since 6 + 640 + 3 + 12 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 652087296 + 11943936 = 25536^2 + 3456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 664031196 and 664031205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664031233) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27858 + ... + 45870.

Almost surely, 2664031232 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 664031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959092381).

664031232 is an abundant number, since it is smaller than the sum of its proper divisors (1254153530).

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

664031232 is a wasteful number, since it uses less digits than its factorization.

664031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18043 (or 18018 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 664031232 is about 25768.8034646547. The cubic root of 664031232 is about 872.4278124090.

Adding to 664031232 its reverse (232130466), we get a palindrome (896161698).

The spelling of 664031232 in words is "six hundred sixty-four million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18013 18432 36026 36864 54039 72052 108078 144104 162117 216156 288208 324234 432312 576416 648468 864624 1152832 1296936 1729248 2305664 2593872 3458496 4611328 5187744 6916992 9222656 10375488 13833984 18445312 20750976 27667968 36890624 41501952 55335936 73781248 83003904 110671872 166007808 221343744 332015616 664031232