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812053296 = 24337512503
BaseRepresentation
bin110000011001101…
…111001100110000
32002121000120201000
4300121233030300
53130341201141
6212325042000
726060224215
oct6031571460
92077016630
10812053296
1138742372a
121a7b56300
13cc313212
1479bc5b0c
154b4585b6
hex3066f330

812053296 has 80 divisors (see below), whose sum is σ = 2334929920. Its totient is φ = 270216000.

The previous prime is 812053283. The next prime is 812053301. The reversal of 812053296 is 692350218.

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

It is a self number, because there is not a number n which added to its sum of digits gives 812053296.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323181 + ... + 325683.

It is an arithmetic number, because the mean of its divisors is an integer number (29186624).

Almost surely, 2812053296 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 812053296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167464960).

812053296 is an abundant number, since it is smaller than the sum of its proper divisors (1522876624).

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

812053296 is a wasteful number, since it uses less digits than its factorization.

812053296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3271 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 812053296 is about 28496.5488436758. The cubic root of 812053296 is about 932.9567498898.

It can be divided in two parts, 8120 and 53296, that added together give a palindrome (61416).

The spelling of 812053296 in words is "eight hundred twelve million, fifty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 751 1502 2253 2503 3004 4506 5006 6008 6759 7509 9012 10012 12016 13518 15018 18024 20024 20277 22527 27036 30036 36048 40048 40554 45054 54072 60072 67581 81108 90108 108144 120144 135162 162216 180216 270324 324432 360432 540648 1081296 1879753 3759506 5639259 7519012 11278518 15038024 16917777 22557036 30076048 33835554 45114072 50753331 67671108 90228144 101506662 135342216 203013324 270684432 406026648 812053296