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2050728192 = 283498897
BaseRepresentation
bin111101000111011…
…1010000100000000
312021220210210020000
41322032322010000
513144441300232
6535254120000
7101550621252
oct17216720400
95256723200
102050728192
11962645497
12492950000
13268b29046
14156501cd2
15c008327c
hex7a3ba100

2050728192 has 90 divisors (see below), whose sum is σ = 6114962238. Its totient is φ = 683569152.

The previous prime is 2050728167. The next prime is 2050728193. The reversal of 2050728192 is 2918270502.

It can be written as a sum of positive squares in only one way, i.e., 1731891456 + 318836736 = 41616^2 + 17856^2 .

It is a super-2 number, since 2×20507281922 = 8410972234927177728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2050728193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 28713 + ... + 70184.

Almost surely, 22050728192 is an apocalyptic number.

It is an amenable number.

2050728192 is an abundant number, since it is smaller than the sum of its proper divisors (4064234046).

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

2050728192 is an frugal number, since it uses more digits than its factorization.

2050728192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98925 (or 98902 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2050728192 is about 45284.9665120777. The cubic root of 2050728192 is about 1270.4844891326.

Adding to 2050728192 its reverse (2918270502), we get a palindrome (4968998694).

The spelling of 2050728192 in words is "two billion, fifty million, seven hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 98897 197794 296691 395588 593382 791176 890073 1186764 1582352 1780146 2373528 2670219 3164704 3560292 4747056 5340438 6329408 7120584 8010657 9494112 10680876 12658816 14241168 16021314 18988224 21361752 25317632 28482336 32042628 37976448 42723504 56964672 64085256 75952896 85447008 113929344 128170512 170894016 227858688 256341024 341788032 512682048 683576064 1025364096 2050728192