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814050272 = 25712292957
BaseRepresentation
bin110000100001010…
…110101111100000
32002201210001001002
4300201112233200
53131344102042
6212435531132
726113212260
oct6041265740
92081701032
10814050272
11388568022
121a8759aa8
13cc862169
147a1857a0
154b700132
hex30856be0

814050272 has 48 divisors (see below), whose sum is σ = 1833723360. Its totient is φ = 348476928.

The previous prime is 814050257. The next prime is 814050299. The reversal of 814050272 is 272050418.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 273818 + ... + 276774.

It is an arithmetic number, because the mean of its divisors is an integer number (38202570).

Almost surely, 2814050272 is an apocalyptic number.

It is an amenable number.

814050272 is an abundant number, since it is smaller than the sum of its proper divisors (1019673088).

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

814050272 is a wasteful number, since it uses less digits than its factorization.

814050272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 814050272 is about 28531.5662381160. The cubic root of 814050272 is about 933.7208898428.

The spelling of 814050272 in words is "eight hundred fourteen million, fifty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1229 2458 2957 4916 5914 8603 9832 11828 17206 19664 20699 23656 34412 39328 41398 47312 68824 82796 94624 137648 165592 275296 331184 662368 3634153 7268306 14536612 25439071 29073224 50878142 58146448 101756284 116292896 203512568 407025136 814050272