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18385328 = 2413157563
BaseRepresentation
bin100011000100…
…0100110110000
31021121001221002
41012020212300
514201312303
61454021132
7312162353
oct106104660
937531832
1018385328
11a418195
1261a77a8
133a694c0
14262829a
151932788
hex11889b0

18385328 has 40 divisors (see below), whose sum is σ = 38674608. Its totient is φ = 8416512.

The previous prime is 18385277. The next prime is 18385351. The reversal of 18385328 is 82358381.

It is a junction number, because it is equal to n+sod(n) for n = 18385291 and 18385300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32375 + ... + 32937.

Almost surely, 218385328 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 18385328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19337304).

18385328 is an abundant number, since it is smaller than the sum of its proper divisors (20289280).

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

18385328 is a wasteful number, since it uses less digits than its factorization.

18385328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 18385328 is about 4287.8115630237. The cubic root of 18385328 is about 263.9310349395.

The spelling of 18385328 in words is "eighteen million, three hundred eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 157 208 314 563 628 1126 1256 2041 2252 2512 4082 4504 7319 8164 9008 14638 16328 29276 32656 58552 88391 117104 176782 353564 707128 1149083 1414256 2298166 4596332 9192664 18385328