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28814600 = 2352144073
BaseRepresentation
bin110110111101…
…0110100001000
32000012221012102
41231322310020
524334031400
62505332532
7466630403
oct155726410
960187172
1028814600
11152a0921
129797148
135c7b579
143b80d3a
1527e29d5
hex1b7ad08

28814600 has 24 divisors (see below), whose sum is σ = 66994410. Its totient is φ = 11525760.

The previous prime is 28814581. The next prime is 28814627. The reversal of 28814600 is 641882.

It can be written as a sum of positive squares in 3 ways, for example, as 24661156 + 4153444 = 4966^2 + 2038^2 .

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 5 ways as a sum of consecutive naturals, for example, 71837 + ... + 72236.

Almost surely, 228814600 is an apocalyptic number.

28814600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28814600 is an abundant number, since it is smaller than the sum of its proper divisors (38179810).

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

28814600 is a wasteful number, since it uses less digits than its factorization.

28814600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144089 (or 144080 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 28814600 is about 5367.9232483336. The cubic root of 28814600 is about 306.5755610484.

The spelling of 28814600 in words is "twenty-eight million, eight hundred fourteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 144073 288146 576292 720365 1152584 1440730 2881460 3601825 5762920 7203650 14407300 28814600