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814950054 = 2322910914323
BaseRepresentation
bin110000100100110…
…010011010100110
32002210110202022100
4300210302122212
53132111400204
6212511112530
726123650452
oct6044623246
92083422270
10814950054
11389022046
121a8b12746
13ccab8889
147a33b662
154b82ba39
hex309326a6

814950054 has 48 divisors (see below), whose sum is σ = 1843498800. Its totient is φ = 259858368.

The previous prime is 814950047. The next prime is 814950077. The reversal of 814950054 is 450059418.

814950054 is a `hidden beast` number, since 8 + 149 + 500 + 5 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 49737 + ... + 64059.

It is an arithmetic number, because the mean of its divisors is an integer number (38406225).

Almost surely, 2814950054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814950054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921749400).

814950054 is an abundant number, since it is smaller than the sum of its proper divisors (1028548746).

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

814950054 is a wasteful number, since it uses less digits than its factorization.

814950054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14469 (or 14466 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 814950054 is about 28547.3300678014. The cubic root of 814950054 is about 934.0647817484.

The spelling of 814950054 in words is "eight hundred fourteen million, nine hundred fifty thousand, fifty-four".

Divisors: 1 2 3 6 9 18 29 58 87 109 174 218 261 327 522 654 981 1962 3161 6322 9483 14323 18966 28449 28646 42969 56898 85938 128907 257814 415367 830734 1246101 1561207 2492202 3122414 3738303 4683621 7476606 9367242 14050863 28101726 45275003 90550006 135825009 271650018 407475027 814950054