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18728664 = 2332971379
BaseRepresentation
bin100011101110…
…0011011011000
31022020111220020
41013130123120
514243304124
61505230440
7315122343
oct107343330
938214806
1018728664
11a632139
126332420
133b59866
1426b745a
15199e379
hex11dc6d8

18728664 has 64 divisors (see below), whose sum is σ = 49248000. Its totient is φ = 5927040.

The previous prime is 18728653. The next prime is 18728669. The reversal of 18728664 is 46682781.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18728669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49227 + ... + 49605.

It is an arithmetic number, because the mean of its divisors is an integer number (769500).

Almost surely, 218728664 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 18728664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24624000).

18728664 is an abundant number, since it is smaller than the sum of its proper divisors (30519336).

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

18728664 is a wasteful number, since it uses less digits than its factorization.

18728664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 484 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 18728664 is about 4327.6626485899. The cubic root of 18728664 is about 265.5638356794.

The spelling of 18728664 in words is "eighteen million, seven hundred twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 71 87 116 142 174 213 232 284 348 379 426 568 696 758 852 1137 1516 1704 2059 2274 3032 4118 4548 6177 8236 9096 10991 12354 16472 21982 24708 26909 32973 43964 49416 53818 65946 80727 87928 107636 131892 161454 215272 263784 322908 645816 780361 1560722 2341083 3121444 4682166 6242888 9364332 18728664