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26243000 = 2353723163
BaseRepresentation
bin110010000011…
…0111110111000
31211101021121222
41210012332320
523204234000
62334251212
7436030130
oct144067670
954337558
1026243000
11138a4833
128956b08
13558ac04
1436b1ac0
152485a85
hex1906fb8

26243000 has 128 divisors (see below), whose sum is σ = 73681920. Its totient is φ = 8553600.

The previous prime is 26242987. The next prime is 26243017. The reversal of 26243000 is 34262.

It is a self number, because there is not a number n which added to its sum of digits gives 26243000.

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 31 ways as a sum of consecutive naturals, for example, 160919 + ... + 161081.

It is an arithmetic number, because the mean of its divisors is an integer number (575640).

Almost surely, 226243000 is an apocalyptic number.

26243000 is a gapful number since it is divisible by the number (20) 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 26243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36840960).

26243000 is an abundant number, since it is smaller than the sum of its proper divisors (47438920).

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

26243000 is a wasteful number, since it uses less digits than its factorization.

26243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 26243000 is about 5122.7922073807. The cubic root of 26243000 is about 297.1696778587.

Adding to 26243000 its reverse (34262), we get a palindrome (26277262).

The spelling of 26243000 in words is "twenty-six million, two hundred forty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 125 140 161 163 175 184 200 230 250 280 322 326 350 460 500 575 644 652 700 805 815 875 920 1000 1141 1150 1288 1304 1400 1610 1630 1750 2282 2300 2875 3220 3260 3500 3749 4025 4075 4564 4600 5705 5750 6440 6520 7000 7498 8050 8150 9128 11410 11500 14996 16100 16300 18745 20125 20375 22820 23000 26243 28525 29992 32200 32600 37490 40250 40750 45640 52486 57050 74980 80500 81500 93725 104972 114100 131215 142625 149960 161000 163000 187450 209944 228200 262430 285250 374900 468625 524860 570500 656075 749800 937250 1049720 1141000 1312150 1874500 2624300 3280375 3749000 5248600 6560750 13121500 26243000