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810010038 = 232813531361
BaseRepresentation
bin110000010001111…
…100010110110110
32002110011202212210
4300101330112312
53124330310123
6212213154250
726033654205
oct6021742666
92073152783
10810010038
11386258592
121a732b986
13cba791a6
147981323c
154b1a2e93
hex3047c5b6

810010038 has 32 divisors (see below), whose sum is σ = 1631588832. Its totient is φ = 268083200.

The previous prime is 810010037. The next prime is 810010051. The reversal of 810010038 is 830010018.

It is a happy number.

810010038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8100100382 = 1312232523321522888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 810009996 and 810010023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810010037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594478 + ... + 595838.

It is an arithmetic number, because the mean of its divisors is an integer number (50987151).

Almost surely, 2810010038 is an apocalyptic number.

810010038 is an abundant number, since it is smaller than the sum of its proper divisors (821578794).

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

810010038 is a wasteful number, since it uses less digits than its factorization.

810010038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000.

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 810010038 is about 28460.6752906532. The cubic root of 810010038 is about 932.1736024369.

The spelling of 810010038 in words is "eight hundred ten million, ten thousand, thirty-eight".

Divisors: 1 2 3 6 281 353 562 706 843 1059 1361 1686 2118 2722 4083 8166 99193 198386 297579 382441 480433 595158 764882 960866 1147323 1441299 2294646 2882598 135001673 270003346 405005019 810010038