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812806410 = 235135339323
BaseRepresentation
bin110000011100100…
…111000100001010
32002122102211210010
4300130213010022
53131034301120
6212353132350
726066511663
oct6034470412
92078384703
10812806410
11387898539
121a825a0b6
13cc517c50
1479d4036a
154b5567e0
hex3072710a

812806410 has 64 divisors (see below), whose sum is σ = 2140483968. Its totient is φ = 196295424.

The previous prime is 812806373. The next prime is 812806429. The reversal of 812806410 is 14608218.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1009 + ... + 40331.

It is an arithmetic number, because the mean of its divisors is an integer number (33445062).

Almost surely, 2812806410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812806410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070241984).

812806410 is an abundant number, since it is smaller than the sum of its proper divisors (1327677558).

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

812806410 is a wasteful number, since it uses less digits than its factorization.

812806410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39399.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 812806410 is about 28509.7599077930. The cubic root of 812806410 is about 933.2450748459.

The spelling of 812806410 in words is "eight hundred twelve million, eight hundred six thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 53 65 78 106 130 159 195 265 318 390 530 689 795 1378 1590 2067 3445 4134 6890 10335 20670 39323 78646 117969 196615 235938 393230 511199 589845 1022398 1179690 1533597 2084119 2555995 3067194 4168238 5111990 6252357 7667985 10420595 12504714 15335970 20841190 27093547 31261785 54187094 62523570 81280641 135467735 162561282 270935470 406403205 812806410