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18428025 = 3527113191
BaseRepresentation
bin100011001001…
…1000001111001
31021200020111110
41012103001321
514204144100
61454550533
7312431010
oct106230171
937606443
1018428025
11a447280
126208449
133a82a75
142639a77
151940250
hex1193079

18428025 has 48 divisors (see below), whose sum is σ = 37997568. Its totient is φ = 7656000.

The previous prime is 18428009. The next prime is 18428057. The reversal of 18428025 is 52082481.

It is not a de Polignac number, because 18428025 - 24 = 18428009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 18427983 and 18428001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4180 + ... + 7370.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 218428025 is an apocalyptic number.

18428025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18428025 is an abundant number, since it is smaller than the sum of its proper divisors (19569543).

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

18428025 is a wasteful number, since it uses less digits than its factorization.

18428025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 18428025 is about 4292.7875558895. The cubic root of 18428025 is about 264.1351895984.

The spelling of 18428025 in words is "eighteen million, four hundred twenty-eight thousand, twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 3191 5775 9573 15955 22337 35101 47865 67011 79775 105303 111685 175505 239325 245707 335055 526515 558425 737121 877525 1228535 1675275 2632575 3685605 6142675 18428025