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812422464 = 2637604481
BaseRepresentation
bin110000011011001…
…001010101000000
32002121201100002220
4300123021111000
53130440004324
6212341011040
726063322420
oct6033112500
92077640086
10812422464
11387656027
121a80b3a80
13cc412269
1479c80480
154b4ccb79
hex306c9540

812422464 has 56 divisors (see below), whose sum is σ = 2456614848. Its totient is φ = 232120320.

The previous prime is 812422439. The next prime is 812422529. The reversal of 812422464 is 464224218.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 300897 + ... + 303584.

Almost surely, 2812422464 is an apocalyptic number.

812422464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

812422464 is an abundant number, since it is smaller than the sum of its proper divisors (1644192384).

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

812422464 is a wasteful number, since it uses less digits than its factorization.

812422464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604503 (or 604493 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 812422464 is about 28503.0255236177. The cubic root of 812422464 is about 933.0981058001.

The spelling of 812422464 in words is "eight hundred twelve million, four hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 604481 1208962 1813443 2417924 3626886 4231367 4835848 7253772 8462734 9671696 12694101 14507544 16925468 19343392 25388202 29015088 33850936 38686784 50776404 58030176 67701872 101552808 116060352 135403744 203105616 270807488 406211232 812422464