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812942208 = 273213192857
BaseRepresentation
bin110000011101001…
…000001110000000
32002122200202001200
4300131020032000
53131103122313
6212400101200
726100615621
oct6035101600
92078622050
10812942208
11387980571
121a8304800
13cc5649c0
1479d77a48
154b581b73
hex30748380

812942208 has 192 divisors, whose sum is σ = 2652795600. Its totient is φ = 236888064.

The previous prime is 812942203. The next prime is 812942213. The reversal of 812942208 is 802249218.

It is an interprime number because it is at equal distance from previous prime (812942203) and next prime (812942213).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812942201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283116 + ... + 285972.

Almost surely, 2812942208 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 812942208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326397800).

812942208 is an abundant number, since it is smaller than the sum of its proper divisors (1839853392).

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

812942208 is a wasteful number, since it uses less digits than its factorization.

812942208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2894 counting only the distinct ones).

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

The square root of 812942208 is about 28512.1414137907. The cubic root of 812942208 is about 933.2970453012.

The spelling of 812942208 in words is "eight hundred twelve million, nine hundred forty-two thousand, two hundred eight".