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2028383000 = 2353719101151
BaseRepresentation
bin111100011100110…
…1010101100011000
312020100202112101022
41320321222230120
513123231224000
6533135142012
7101156654030
oct17071525430
95210675338
102028383000
11950a73196
12487374908
13264304337
141535668c0
15bd11c585
hex78e6ab18

2028383000 has 256 divisors, whose sum is σ = 5804697600. Its totient is φ = 648000000.

The previous prime is 2028382997. The next prime is 2028383039. The reversal of 2028383000 is 3838202.

It is a super-2 number, since 2×20283830002 = 8228675189378000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13432925 + ... + 13433075.

It is an arithmetic number, because the mean of its divisors is an integer number (22674600).

Almost surely, 22028383000 is an apocalyptic number.

2028383000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028383000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902348800).

2028383000 is an abundant number, since it is smaller than the sum of its proper divisors (3776314600).

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

2028383000 is a wasteful number, since it uses less digits than its factorization.

2028383000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2028383000 is about 45037.5732028270. The cubic root of 2028383000 is about 1265.8531325792.

The spelling of 2028383000 in words is "two billion, twenty-eight million, three hundred eighty-three thousand".