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28018224 = 2434131663
BaseRepresentation
bin110101011100…
…0011000110000
31221201110210000
41222320120300
524133040344
62440310000
7460102533
oct152703060
957643700
1028018224
11148a7563
129472300
135a5cc40
143a14a1a
1526d6a69
hex1ab8630

28018224 has 100 divisors (see below), whose sum is σ = 87383296. Its totient is φ = 8615808.

The previous prime is 28018187. The next prime is 28018247. The reversal of 28018224 is 42281082.

It is a super-2 number, since 2×280182242 = 1570041752228352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 16017 + ... + 17679.

Almost surely, 228018224 is an apocalyptic number.

28018224 is a gapful number since it is divisible by the number (24) 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 28018224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43691648).

28018224 is an abundant number, since it is smaller than the sum of its proper divisors (59365072).

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

28018224 is a wasteful number, since it uses less digits than its factorization.

28018224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 28018224 is about 5293.2243481644. The cubic root of 28018224 is about 303.7247624208.

It can be divided in two parts, 2801 and 8224, that added together give a square (11025 = 1052).

The spelling of 28018224 in words is "twenty-eight million, eighteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1663 1872 2106 2808 3326 4212 4989 5616 6652 8424 9978 13304 14967 16848 19956 21619 26608 29934 39912 43238 44901 59868 64857 79824 86476 89802 119736 129714 134703 172952 179604 194571 239472 259428 269406 345904 359208 389142 518856 538812 583713 718416 778284 1037712 1077624 1167426 1556568 1751139 2155248 2334852 3113136 3502278 4669704 7004556 9339408 14009112 28018224