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28009152 = 26351801
BaseRepresentation
bin110101011011…
…0001011000000
31221201000100000
41222312023000
524132243102
62440200000
7460034223
oct152661300
957630300
1028009152
11148a0766
129469000
135a58a82
143a115ba
1526d401c
hex1ab62c0

28009152 has 84 divisors (see below), whose sum is σ = 83302856. Its totient is φ = 9331200.

The previous prime is 28009139. The next prime is 28009153. The reversal of 28009152 is 25190082.

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

It is not an unprimeable number, because it can be changed into a prime (28009153) 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 11 ways as a sum of consecutive naturals, for example, 14652 + ... + 16452.

Almost surely, 228009152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28009152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41651428).

28009152 is an abundant number, since it is smaller than the sum of its proper divisors (55293704).

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

28009152 is an equidigital number, since it uses as much as digits as its factorization.

28009152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 28009152 is about 5292.3673341899. The cubic root of 28009152 is about 303.6919779434.

The spelling of 28009152 in words is "twenty-eight million, nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1801 1944 2592 3602 3888 5184 5403 7204 7776 10806 14408 15552 16209 21612 28816 32418 43224 48627 57632 64836 86448 97254 115264 129672 145881 172896 194508 259344 291762 345792 389016 437643 518688 583524 778032 875286 1037376 1167048 1556064 1750572 2334096 3112128 3501144 4668192 7002288 9336384 14004576 28009152