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812296128 = 2637286341
BaseRepresentation
bin110000011010101…
…010011111000000
32002121110220210210
4300122222133000
53130421434003
6212334154120
726062255200
oct6032523700
92077426723
10812296128
1138757a116
121a8052940
13cc3998c7
1479c4a400
154b4a5503
hex306aa7c0

812296128 has 84 divisors (see below), whose sum is σ = 2500118952. Its totient is φ = 232081920.

The previous prime is 812296127. The next prime is 812296181. The reversal of 812296128 is 821692218.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812296127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 33763 + ... + 52578.

Almost surely, 2812296128 is an apocalyptic number.

It is an amenable number.

812296128 is an abundant number, since it is smaller than the sum of its proper divisors (1687822824).

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

812296128 is a wasteful number, since it uses less digits than its factorization.

812296128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86370 (or 86353 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 812296128 is about 28500.8092516686. The cubic root of 812296128 is about 933.0497360587.

The spelling of 812296128 in words is "eight hundred twelve million, two hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 86341 172682 259023 345364 518046 604387 690728 1036092 1208774 1381456 1813161 2072184 2417548 2762912 3626322 4144368 4230709 4835096 5525824 7252644 8288736 8461418 9670192 12692127 14505288 16577472 16922836 19340384 25384254 29010576 33845672 38680768 50768508 58021152 67691344 101537016 116042304 135382688 203074032 270765376 406148064 812296128