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28038144 = 21039127
BaseRepresentation
bin110101011110…
…1010000000000
31221202111002210
41222331100000
524134210034
62440542120
7460214601
oct152752000
957674083
1028038144
1114910522
129481940
135a69024
143a1bda8
1526dc8e9
hex1abd400

28038144 has 44 divisors (see below), whose sum is σ = 74740064. Its totient is φ = 9345024.

The previous prime is 28038089. The next prime is 28038163. The reversal of 28038144 is 44183082.

It is a super-2 number, since 2×280381442 = 1572275037929472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1492 + ... + 7635.

Almost surely, 228038144 is an apocalyptic number.

28038144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28038144 is an abundant number, since it is smaller than the sum of its proper divisors (46701920).

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

28038144 is an equidigital number, since it uses as much as digits as its factorization.

28038144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9150 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 28038144 is about 5295.1056646681. The cubic root of 28038144 is about 303.7967246789.

It can be divided in two parts, 28038 and 144, that added together give a palindrome (28182).

The spelling of 28038144 in words is "twenty-eight million, thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 9127 18254 27381 36508 54762 73016 109524 146032 219048 292064 438096 584128 876192 1168256 1752384 2336512 3504768 4673024 7009536 9346048 14019072 28038144