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18468096 = 283139173
BaseRepresentation
bin100011001110…
…0110100000000
31021202021110120
41012130310000
514211434341
61455500240
7312655563
oct106346400
937667416
1018468096
11a474399
126227680
133a9808a
14264a4da
15194c066
hex119cd00

18468096 has 72 divisors (see below), whose sum is σ = 49791840. Its totient is φ = 6076416.

The previous prime is 18468091. The next prime is 18468097. The reversal of 18468096 is 69086481.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18468091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106666 + ... + 106838.

Almost surely, 218468096 is an apocalyptic number.

18468096 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 18468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24895920).

18468096 is an abundant number, since it is smaller than the sum of its proper divisors (31323744).

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

18468096 is a wasteful number, since it uses less digits than its factorization.

18468096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 18468096 is about 4297.4522684958. The cubic root of 18468096 is about 264.3265014514.

The spelling of 18468096 in words is "eighteen million, four hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 173 192 256 278 346 384 417 519 556 692 768 834 1038 1112 1384 1668 2076 2224 2768 3336 4152 4448 5536 6672 8304 8896 11072 13344 16608 17792 22144 24047 26688 33216 35584 44288 48094 53376 66432 72141 96188 106752 132864 144282 192376 288564 384752 577128 769504 1154256 1539008 2308512 3078016 4617024 6156032 9234048 18468096