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28086144 = 27373141
BaseRepresentation
bin110101100100…
…0111110000000
31221211220221120
41223020332000
524142224034
62441552240
7460504542
oct153107600
957756846
1028086144
1114943599
1294a5680
135a84b28
143a31692
1526ebc49
hex1ac8f80

28086144 has 32 divisors (see below), whose sum is σ = 74604840. Its totient is φ = 9361920.

The previous prime is 28086137. The next prime is 28086203. The reversal of 28086144 is 44168082.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 36187 + ... + 36954.

Almost surely, 228086144 is an apocalyptic number.

28086144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28086144 is an abundant number, since it is smaller than the sum of its proper divisors (46518696).

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

28086144 is an equidigital number, since it uses as much as digits as its factorization.

28086144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73158 (or 73146 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 28086144 is about 5299.6362139302. The cubic root of 28086144 is about 303.9699878036.

The spelling of 28086144 in words is "twenty-eight million, eighty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 73141 146282 219423 292564 438846 585128 877692 1170256 1755384 2340512 3510768 4681024 7021536 9362048 14043072 28086144