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812490516 = 223234616521
BaseRepresentation
bin110000011011011…
…001111100010100
32002121211210110100
4300123121330110
53130444144031
6212342254100
726064025005
oct6033317424
92077753410
10812490516
113876a2172
121a8127330
13cc437226
1479c9b1ac
154b4e2de6
hex306d9f14

812490516 has 36 divisors (see below), whose sum is σ = 2054703924. Its totient is φ = 270710400.

The previous prime is 812490509. The next prime is 812490529. The reversal of 812490516 is 615094218.

812490516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 481978116 + 330512400 = 21954^2 + 18180^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121336 + ... + 127856.

It is an arithmetic number, because the mean of its divisors is an integer number (57075109).

Almost surely, 2812490516 is an apocalyptic number.

It is an amenable number.

812490516 is an abundant number, since it is smaller than the sum of its proper divisors (1242213408).

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

812490516 is a wasteful number, since it uses less digits than its factorization.

812490516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9992 (or 9987 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 812490516 is about 28504.2192666279. The cubic root of 812490516 is about 933.1241585096.

The spelling of 812490516 in words is "eight hundred twelve million, four hundred ninety thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 3461 6521 6922 10383 13042 13844 19563 20766 26084 31149 39126 41532 58689 62298 78252 117378 124596 234756 22569181 45138362 67707543 90276724 135415086 203122629 270830172 406245258 812490516