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18261468 = 22321753563
BaseRepresentation
bin100010110101…
…0010111011100
31021100210000200
41011222113130
514133331333
61451223500
7311135301
oct105522734
937323020
1018261468
11a343125
126147b90
133a25004
1425d50a8
15190ac13
hex116a5dc

18261468 has 72 divisors (see below), whose sum is σ = 49886928. Its totient is φ = 5611008.

The previous prime is 18261437. The next prime is 18261479. The reversal of 18261468 is 86416281.

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

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, 32155 + ... + 32717.

It is an arithmetic number, because the mean of its divisors is an integer number (692874).

Almost surely, 218261468 is an apocalyptic number.

18261468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

18261468 is the 2703-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18261468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24943464).

18261468 is an abundant number, since it is smaller than the sum of its proper divisors (31625460).

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

18261468 is a wasteful number, since it uses less digits than its factorization.

18261468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 638 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 18261468 is about 4273.3438897426. The cubic root of 18261468 is about 263.3370071947.

The spelling of 18261468 in words is "eighteen million, two hundred sixty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 306 318 477 563 612 636 901 954 1126 1689 1802 1908 2252 2703 3378 3604 5067 5406 6756 8109 9571 10134 10812 16218 19142 20268 28713 29839 32436 38284 57426 59678 86139 89517 114852 119356 172278 179034 268551 344556 358068 507263 537102 1014526 1074204 1521789 2029052 3043578 4565367 6087156 9130734 18261468