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18964368 = 243414633
BaseRepresentation
bin100100001010…
…1111110010000
31022200111020000
41020111332100
514323324433
61514250000
7320123463
oct110257620
938614200
1018964368
11a783235
126426900
133c0cc27
1427392da
1519e9113
hex1215f90

18964368 has 50 divisors (see below), whose sum is σ = 54892134. Its totient is φ = 6321024.

The previous prime is 18964349. The next prime is 18964369. The reversal of 18964368 is 86346981.

It can be written as a sum of positive squares in only one way, i.e., 10036224 + 8928144 = 3168^2 + 2988^2 .

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

It is not an unprimeable number, because it can be changed into a prime (18964369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6021 + ... + 8612.

Almost surely, 218964368 is an apocalyptic number.

18964368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18964368 is an abundant number, since it is smaller than the sum of its proper divisors (35927766).

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

18964368 is a wasteful number, since it uses less digits than its factorization.

18964368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14653 (or 14638 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 18964368 is about 4354.8097547425. The cubic root of 18964368 is about 266.6732526151.

The spelling of 18964368 in words is "eighteen million, nine hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 14633 29266 43899 58532 87798 117064 131697 175596 234128 263394 351192 395091 526788 702384 790182 1053576 1185273 1580364 2107152 2370546 3160728 4741092 6321456 9482184 18964368