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18464128 = 27672153
BaseRepresentation
bin100011001101…
…1110110000000
31021202002000121
41012123312000
514211323003
61455430024
7312641164
oct106336600
937662017
1018464128
11a471411
126225314
133a96327
142648ca4
15194acbd
hex119bd80

18464128 has 32 divisors (see below), whose sum is σ = 37350360. Its totient is φ = 9090048.

The previous prime is 18464123. The next prime is 18464141. The reversal of 18464128 is 82146481.

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

It is a junction number, because it is equal to n+sod(n) for n = 18464093 and 18464102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18464123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 7500 + ... + 9652.

Almost surely, 218464128 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 18464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18675180).

18464128 is an abundant number, since it is smaller than the sum of its proper divisors (18886232).

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

18464128 is an equidigital number, since it uses as much as digits as its factorization.

18464128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2222 counting only the distinct ones).

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

The square root of 18464128 is about 4296.9905748093. The cubic root of 18464128 is about 264.3075692943.

The spelling of 18464128 in words is "eighteen million, four hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1072 2144 2153 4288 4306 8576 8612 17224 34448 68896 137792 144251 275584 288502 577004 1154008 2308016 4616032 9232064 18464128