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18284416 = 27211677
BaseRepresentation
bin100010110111…
…1111110000000
31021101221111121
41011233332000
514140100131
61451522024
7311262223
oct105577600
937357447
1018284416
11a359397
126159314
133a325a7
1425dd5ba
151912911
hex116ff80

18284416 has 32 divisors (see below), whose sum is σ = 36652680. Its totient is φ = 9085440.

The previous prime is 18284411. The next prime is 18284419. The reversal of 18284416 is 61448281.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×182844162 = 668639736922112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18284411) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 26670 + ... + 27346.

Almost surely, 218284416 is an apocalyptic number.

18284416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18326340).

18284416 is an abundant number, since it is smaller than the sum of its proper divisors (18368264).

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

18284416 is an equidigital number, since it uses as much as digits as its factorization.

18284416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 890 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 18284416 is about 4276.0280635188. The cubic root of 18284416 is about 263.4472671895.

The spelling of 18284416 in words is "eighteen million, two hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 211 422 677 844 1354 1688 2708 3376 5416 6752 10832 13504 21664 27008 43328 86656 142847 285694 571388 1142776 2285552 4571104 9142208 18284416