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18909774 = 235134173
BaseRepresentation
bin100100000100…
…0101001001110
31022120201100000
41020020221032
514320103044
61513145130
7316505352
oct110105116
938521300
1018909774
11a746214
1263bb1a6
133bc1120
142723462
1519d7d69
hex1208a4e

18909774 has 96 divisors (see below), whose sum is σ = 47515104. Its totient is φ = 5598720.

The previous prime is 18909773. The next prime is 18909791. The reversal of 18909774 is 47790981.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18909773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259002 + ... + 259074.

It is an arithmetic number, because the mean of its divisors is an integer number (494949).

Almost surely, 218909774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18909774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23757552).

18909774 is an abundant number, since it is smaller than the sum of its proper divisors (28605330).

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

18909774 is a wasteful number, since it uses less digits than its factorization.

18909774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 18909774 is about 4348.5369953583. The cubic root of 18909774 is about 266.4171099310.

It can be divided in two parts, 1890977 and 4, that added together give a palindrome (1890981).

The spelling of 18909774 in words is "eighteen million, nine hundred nine thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 73 78 81 82 117 123 146 162 219 234 243 246 351 369 438 486 533 657 702 738 949 1053 1066 1107 1314 1599 1898 1971 2106 2214 2847 2993 3159 3198 3321 3942 4797 5694 5913 5986 6318 6642 8541 8979 9594 9963 11826 14391 17082 17739 17958 19926 25623 26937 28782 35478 38909 43173 51246 53874 76869 77818 80811 86346 116727 129519 153738 161622 230607 233454 242433 259038 350181 461214 484866 700362 727299 1050543 1454598 2101086 3151629 6303258 9454887 18909774