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812428848 = 243271126661
BaseRepresentation
bin110000011011001…
…010111000110000
32002121201122212100
4300123022320300
53130440210343
6212341100400
726063350140
oct6033127060
92077648770
10812428848
1138765a900
121a80b7700
13cc41513a
1479c82920
154b4ce9d3
hex306cae30

812428848 has 180 divisors, whose sum is σ = 2856612304. Its totient is φ = 210988800.

The previous prime is 812428819. The next prime is 812428871. The reversal of 812428848 is 848824218.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118638 + ... + 125298.

Almost surely, 2812428848 is an apocalyptic number.

812428848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812428848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428306152).

812428848 is an abundant number, since it is smaller than the sum of its proper divisors (2044183456).

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

812428848 is a wasteful number, since it uses less digits than its factorization.

812428848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6704 (or 6684 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 812428848 is about 28503.1375115091. The cubic root of 812428848 is about 933.1005498826.

The spelling of 812428848 in words is "eight hundred twelve million, four hundred twenty-eight thousand, eight hundred forty-eight".