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20284288 = 27374283
BaseRepresentation
bin100110101100…
…0001110000000
31102011112210221
41031120032000
520143044123
62002432424
7334261603
oct115301600
942145727
1020284288
11104a4982
126962714
13428294b
1429a033a
151baa25d
hex1358380

20284288 has 32 divisors (see below), whose sum is σ = 41511960. Its totient is φ = 9865728.

The previous prime is 20284279. The next prime is 20284289. The reversal of 20284288 is 88248202.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×202842882 = 822904679333888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20284289) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2595 + ... + 6877.

Almost surely, 220284288 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 20284288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20755980).

20284288 is an abundant number, since it is smaller than the sum of its proper divisors (21227672).

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

20284288 is an equidigital number, since it uses as much as digits as its factorization.

20284288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 20284288 is about 4503.8081664298. The cubic root of 20284288 is about 272.7218427471.

The spelling of 20284288 in words is "twenty million, two hundred eighty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4283 4736 8566 17132 34264 68528 137056 158471 274112 316942 548224 633884 1267768 2535536 5071072 10142144 20284288