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28017144 = 2333151859
BaseRepresentation
bin110101011100…
…0000111111000
31221201102022000
41222320013320
524133022034
62440301000
7460066431
oct152700770
957642260
1028017144
11148a6771
129471760
135a5c5bc
143a14488
1526d6599
hex1ab81f8

28017144 has 64 divisors (see below), whose sum is σ = 78432000. Its totient is φ = 9266400.

The previous prime is 28017137. The next prime is 28017163. The reversal of 28017144 is 44171082.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32187 + ... + 33045.

It is an arithmetic number, because the mean of its divisors is an integer number (1225500).

Almost surely, 228017144 is an apocalyptic number.

28017144 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 28017144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39216000).

28017144 is an abundant number, since it is smaller than the sum of its proper divisors (50414856).

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

28017144 is a wasteful number, since it uses less digits than its factorization.

28017144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 28017144 is about 5293.1223299674. The cubic root of 28017144 is about 303.7208598779.

It can be divided in two parts, 280 and 17144, that added together give a square (17424 = 1322).

The spelling of 28017144 in words is "twenty-eight million, seventeen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 151 216 302 453 604 859 906 1208 1359 1718 1812 2577 2718 3436 3624 4077 5154 5436 6872 7731 8154 10308 10872 15462 16308 20616 23193 30924 32616 46386 61848 92772 129709 185544 259418 389127 518836 778254 1037672 1167381 1556508 2334762 3113016 3502143 4669524 7004286 9339048 14008572 28017144