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18379296 = 2532134909
BaseRepresentation
bin100011000011…
…1001000100000
31021120202122200
41012013020200
514201114141
61453533200
7312135645
oct106071040
937522580
1018379296
11a413701
1261a4200
133a66830
142625dcc
151930ab6
hex1187220

18379296 has 72 divisors (see below), whose sum is σ = 56298060. Its totient is φ = 5654016.

The previous prime is 18379279. The next prime is 18379297. The reversal of 18379296 is 69297381.

It can be written as a sum of positive squares in 2 ways, for example, as 17943696 + 435600 = 4236^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (18379297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1290 + ... + 6198.

Almost surely, 218379296 is an apocalyptic number.

18379296 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 18379296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28149030).

18379296 is an abundant number, since it is smaller than the sum of its proper divisors (37918764).

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

18379296 is a wasteful number, since it uses less digits than its factorization.

18379296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938 (or 4927 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 18379296 is about 4287.1081162014. The cubic root of 18379296 is about 263.9021676068.

The spelling of 18379296 in words is "eighteen million, three hundred seventy-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 4909 9818 14727 19636 29454 39272 44181 58908 63817 78544 88362 117816 127634 157088 176724 191451 235632 255268 353448 382902 471264 510536 574353 706896 765804 1021072 1148706 1413792 1531608 2042144 2297412 3063216 4594824 6126432 9189648 18379296