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18000892 = 22713172909
BaseRepresentation
bin100010010101…
…0101111111100
31020212112120201
41010222233330
514102012032
61441453244
7306001510
oct104525774
936775521
1018000892
11a185378
126041224
133963520
142568140
1518a88e7
hex112abfc

18000892 has 48 divisors (see below), whose sum is σ = 41065920. Its totient is φ = 6700032.

The previous prime is 18000889. The next prime is 18000893. The reversal of 18000892 is 29800081.

18000892 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×180008922 = 648064225591328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 18000892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18000893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4734 + ... + 7642.

It is an arithmetic number, because the mean of its divisors is an integer number (855540).

Almost surely, 218000892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18000892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20532960).

18000892 is an abundant number, since it is smaller than the sum of its proper divisors (23065028).

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

18000892 is a wasteful number, since it uses less digits than its factorization.

18000892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 18000892 is about 4242.7458090251. The cubic root of 18000892 is about 262.0784684259.

The spelling of 18000892 in words is "eighteen million, eight hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 884 1547 2909 3094 5818 6188 11636 20363 37817 40726 49453 75634 81452 98906 151268 197812 264719 346171 529438 642889 692342 1058876 1285778 1384684 2571556 4500223 9000446 18000892