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20338256 = 2417233251
BaseRepresentation
bin100110110010…
…1011001010000
31102021021211202
41031211121100
520201311011
62003530332
7334605131
oct115453120
942237752
1020338256
1110531484
1269899a8
1342a1393
1429b5c88
151bbb23b
hex1365650

20338256 has 40 divisors (see below), whose sum is σ = 43550784. Its totient is φ = 9152000.

The previous prime is 20338247. The next prime is 20338259. The reversal of 20338256 is 65283302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20338259) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4631 + ... + 7881.

Almost surely, 220338256 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 20338256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21775392).

20338256 is an abundant number, since it is smaller than the sum of its proper divisors (23212528).

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

20338256 is a wasteful number, since it uses less digits than its factorization.

20338256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 20338256 is about 4509.7955607766. The cubic root of 20338256 is about 272.9634947856.

The spelling of 20338256 in words is "twenty million, three hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1564 3128 3251 6256 6502 13004 26008 52016 55267 74773 110534 149546 221068 299092 442136 598184 884272 1196368 1271141 2542282 5084564 10169128 20338256