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813041312 = 2519270381
BaseRepresentation
bin110000011101100…
…000011010100000
32002122212210000012
4300131200122200
53131114310222
6212402144052
726101510556
oct6035403240
92078783005
10813041312
11387a38a76
121a8352028
13cc59ab45
1479da1bd6
154b5a11e2
hex307606a0

813041312 has 36 divisors (see below), whose sum is σ = 1689379146. Its totient is φ = 385119360.

The previous prime is 813041231. The next prime is 813041387. The reversal of 813041312 is 213140318.

It can be written as a sum of positive squares in only one way, i.e., 744416656 + 68624656 = 27284^2 + 8284^2 .

It is a super-2 number, since 2×8130413122 = 1322072350037362688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23639 + ... + 46742.

Almost surely, 2813041312 is an apocalyptic number.

It is an amenable number.

813041312 is an abundant number, since it is smaller than the sum of its proper divisors (876337834).

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

813041312 is a wasteful number, since it uses less digits than its factorization.

813041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70429 (or 70402 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 813041312 is about 28513.8792871121. The cubic root of 813041312 is about 933.3349691581.

The spelling of 813041312 in words is "eight hundred thirteen million, forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1444 2888 5776 11552 70381 140762 281524 563048 1126096 1337239 2252192 2674478 5348956 10697912 21395824 25407541 42791648 50815082 101630164 203260328 406520656 813041312