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18428688 = 2433291471
BaseRepresentation
bin100011001001…
…1001100010000
31021200021102000
41012103030100
514204204223
61454554000
7312432645
oct106231420
937607360
1018428688
11a447823
126208900
133a83165
142639dcc
151940543
hex1193310

18428688 has 80 divisors (see below), whose sum is σ = 54758400. Its totient is φ = 5927040.

The previous prime is 18428633. The next prime is 18428713. The reversal of 18428688 is 88682481.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11793 + ... + 13263.

It is an arithmetic number, because the mean of its divisors is an integer number (684480).

Almost surely, 218428688 is an apocalyptic number.

18428688 is a gapful number since it is divisible by the number (18) 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 18428688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27379200).

18428688 is an abundant number, since it is smaller than the sum of its proper divisors (36329712).

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

18428688 is a wasteful number, since it uses less digits than its factorization.

18428688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1505 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 18428688 is about 4292.8647777446. The cubic root of 18428688 is about 264.1383572291.

The spelling of 18428688 in words is "eighteen million, four hundred twenty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1471 1566 2088 2942 3132 4176 4413 5884 6264 8826 11768 12528 13239 17652 23536 26478 35304 39717 42659 52956 70608 79434 85318 105912 127977 158868 170636 211824 255954 317736 341272 383931 511908 635472 682544 767862 1023816 1151793 1535724 2047632 2303586 3071448 4607172 6142896 9214344 18428688