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812109004 = 227371495261
BaseRepresentation
bin110000011001111…
…100110011001100
32002121010102010021
4300121330303030
53130344442004
6212330151524
726060545510
oct6031746314
92077112107
10812109004
11387461573
121a7b825a4
13cc332695
1479bdc140
154b469d54
hex3067cccc

812109004 has 48 divisors (see below), whose sum is σ = 1679630400. Its totient is φ = 336303360.

The previous prime is 812108971. The next prime is 812109007. The reversal of 812109004 is 400901218.

It is a happy number.

812109004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 812109004.

It is not an unprimeable number, because it can be changed into a prime (812109007) 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, 151734 + ... + 156994.

It is an arithmetic number, because the mean of its divisors is an integer number (34992300).

Almost surely, 2812109004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812109004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839815200).

812109004 is an abundant number, since it is smaller than the sum of its proper divisors (867521396).

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

812109004 is a wasteful number, since it uses less digits than its factorization.

812109004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 812109004 is about 28497.5262786088. The cubic root of 812109004 is about 932.9780834510.

The spelling of 812109004 in words is "eight hundred twelve million, one hundred nine thousand, four".

Divisors: 1 2 4 7 14 28 37 74 148 149 259 298 518 596 1036 1043 2086 4172 5261 5513 10522 11026 21044 22052 36827 38591 73654 77182 147308 154364 194657 389314 778628 783889 1362599 1567778 2725198 3135556 5450396 5487223 10974446 21948892 29003893 58007786 116015572 203027251 406054502 812109004