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812383128 = 23337351521
BaseRepresentation
bin110000011010111…
…111101110011000
32002121122100011000
4300122333232120
53130432230003
6212340105000
726063066634
oct6032775630
92077570130
10812383128
11387629517
121a8095160
13cc3ca39b
1479c6ddc4
154b4c11a3
hex306bfb98

812383128 has 64 divisors (see below), whose sum is σ = 2287576800. Its totient is φ = 267079680.

The previous prime is 812383123. The next prime is 812383129. The reversal of 812383128 is 821383218.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 812383092 and 812383101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812383123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9993 + ... + 41528.

Almost surely, 2812383128 is an apocalyptic number.

It is an amenable number.

812383128 is an abundant number, since it is smaller than the sum of its proper divisors (1475193672).

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

812383128 is a wasteful number, since it uses less digits than its factorization.

812383128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51609 (or 51599 counting only the distinct ones).

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

The square root of 812383128 is about 28502.3354832547. The cubic root of 812383128 is about 933.0830459262.

The spelling of 812383128 in words is "eight hundred twelve million, three hundred eighty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1314 1752 1971 2628 3942 5256 7884 15768 51521 103042 154563 206084 309126 412168 463689 618252 927378 1236504 1391067 1854756 2782134 3709512 3761033 5564268 7522066 11128536 11283099 15044132 22566198 30088264 33849297 45132396 67698594 90264792 101547891 135397188 203095782 270794376 406191564 812383128