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249479055 = 33574147137
BaseRepresentation
bin11101101111010…
…11111110001111
3122101102211221000
432313223332033
51002331312210
640431111343
76116352120
oct1667537617
9571384830
10249479055
11118908341
126b672553
133c8bc557
14251c2047
1516d7eac0
hexedebf8f

249479055 has 128 divisors (see below), whose sum is σ = 534159360. Its totient is φ = 108103680.

The previous prime is 249479047. The next prime is 249479057. The reversal of 249479055 is 550974942.

It is not a de Polignac number, because 249479055 - 23 = 249479047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 249479055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249479057) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1820947 + ... + 1821083.

It is an arithmetic number, because the mean of its divisors is an integer number (4173120).

Almost surely, 2249479055 is an apocalyptic number.

249479055 is an abundant number, since it is smaller than the sum of its proper divisors (284680305).

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

249479055 is a wasteful number, since it uses less digits than its factorization.

249479055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 249479055 is about 15794.9059826262. The cubic root of 249479055 is about 629.5226542835.

The spelling of 249479055 in words is "two hundred forty-nine million, four hundred seventy-nine thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 41 45 47 63 105 123 135 137 141 189 205 235 287 315 329 369 411 423 615 685 705 861 945 959 987 1107 1233 1269 1435 1645 1845 1927 2055 2115 2583 2877 2961 3699 4305 4795 4935 5535 5617 5781 6165 6345 6439 7749 8631 8883 9635 12915 13489 14385 14805 16851 17343 18495 19317 25893 28085 28905 32195 38745 39319 40467 43155 44415 45073 50553 52029 57951 67445 84255 86715 96585 117957 121401 129465 135219 151659 173853 196595 202335 225365 252765 260145 263999 289755 353871 364203 405657 589785 607005 676095 758295 791997 869265 1061613 1216971 1319995 1769355 1821015 1847993 2028285 2375991 3959985 5308065 5543979 6084855 7127973 9239965 11879955 16631937 27719895 35639865 49895811 83159685 249479055