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810000040 = 23535575693
BaseRepresentation
bin110000010001111…
…001111010101000
32002110011021011111
4300101321322220
53124330000130
6212213040104
726033613103
oct6021717250
92073137144
10810000040
11386251023
121a7326034
13cba74785
147980d73a
154b1a002a
hex30479ea8

810000040 has 32 divisors (see below), whose sum is σ = 1823332680. Its totient is φ = 323852032.

The previous prime is 810000019. The next prime is 810000049. The reversal of 810000040 is 40000018.

It can be written as a sum of positive squares in 4 ways, for example, as 319908996 + 490091044 = 17886^2 + 22138^2 .

It is a super-2 number, since 2×8100000402 = 1312200129600003200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (810000049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139434 + ... + 145126.

Almost surely, 2810000040 is an apocalyptic number.

It is an amenable number.

810000040 is an abundant number, since it is smaller than the sum of its proper divisors (1013332640).

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

810000040 is a wasteful number, since it uses less digits than its factorization.

810000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9261 (or 9257 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 810000040 is about 28460.4996442438. The cubic root of 810000040 is about 932.1697671305.

Adding to 810000040 its reverse (40000018), we get a palindrome (850000058).

It can be divided in two parts, 8100000 and 40, that multiplied together give a square (324000000 = 180002).

The spelling of 810000040 in words is "eight hundred ten million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 3557 5693 7114 11386 14228 17785 22772 28456 28465 35570 45544 56930 71140 113860 142280 227720 20250001 40500002 81000004 101250005 162000008 202500010 405000020 810000040