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812380608 = 263213235389
BaseRepresentation
bin110000011010111…
…111000111000000
32002121122012200200
4300122333013000
53130432134413
6212340045200
726063056404
oct6032770700
92077565620
10812380608
11387627636
121a8093800
13cc3c91b0
1479c6d104
154b4c0573
hex306bf1c0

812380608 has 336 divisors, whose sum is σ = 2696016960. Its totient is φ = 231948288.

The previous prime is 812380589. The next prime is 812380627. The reversal of 812380608 is 806083218.

812380608 is a `hidden beast` number, since 8 + 12 + 38 + 0 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (812380589) and next prime (812380627).

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 47 ways as a sum of consecutive naturals, for example, 9127828 + ... + 9127916.

It is an arithmetic number, because the mean of its divisors is an integer number (8023860).

Almost surely, 2812380608 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 812380608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348008480).

812380608 is an abundant number, since it is smaller than the sum of its proper divisors (1883636352).

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

812380608 is a wasteful number, since it uses less digits than its factorization.

812380608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 812380608 is about 28502.2912763167. The cubic root of 812380608 is about 933.0820811221.

The spelling of 812380608 in words is "eight hundred twelve million, three hundred eighty thousand, six hundred eight".