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812725056 = 263311213223
BaseRepresentation
bin110000011100010…
…011001101000000
32002122021201012000
4300130103031000
53131024200211
6212351304000
726066022543
oct6034231500
92078251160
10812725056
11387842400
121a821b000
13cc4b9c00
1479d1c85a
154b53c656
hex30713340

812725056 has 504 divisors, whose sum is σ = 2967410880. Its totient is φ = 217451520.

The previous prime is 812725051. The next prime is 812725097. The reversal of 812725056 is 650527218.

It is a happy number.

812725056 is a `hidden beast` number, since 81 + 2 + 72 + 505 + 6 = 666.

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 812725056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812725051) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 35335861 + ... + 35335883.

It is an arithmetic number, because the mean of its divisors is an integer number (5887720).

Almost surely, 2812725056 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 812725056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483705440).

812725056 is an abundant number, since it is smaller than the sum of its proper divisors (2154685824).

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

812725056 is a wasteful number, since it uses less digits than its factorization.

812725056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 812725056 is about 28508.3330975348. Note that the first 3 decimals coincide. The cubic root of 812725056 is about 933.2139375615.

The spelling of 812725056 in words is "eight hundred twelve million, seven hundred twenty-five thousand, fifty-six".