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26245000 = 235429181
BaseRepresentation
bin110010000011…
…1011110001000
31211101101101001
41210013132020
523204320000
62334304344
7436036015
oct144073610
954341331
1026245000
11138a6291
1289580b4
13558bab2
1436b270c
15248646a
hex1907788

26245000 has 80 divisors (see below), whose sum is σ = 63963900. Its totient is φ = 10080000.

The previous prime is 26244997. The next prime is 26245013. The reversal of 26245000 is 54262.

It can be written as a sum of positive squares in 10 ways, for example, as 8655364 + 17589636 = 2942^2 + 4194^2 .

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 19 ways as a sum of consecutive naturals, for example, 144910 + ... + 145090.

Almost surely, 226245000 is an apocalyptic number.

26245000 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 26245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31981950).

26245000 is an abundant number, since it is smaller than the sum of its proper divisors (37718900).

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

26245000 is a wasteful number, since it uses less digits than its factorization.

26245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 26245000 is about 5122.9874097054. The cubic root of 26245000 is about 297.1772268465.

Adding to 26245000 its reverse (54262), we get a palindrome (26299262).

The spelling of 26245000 in words is "twenty-six million, two hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 181 200 232 250 290 362 500 580 625 724 725 905 1000 1160 1250 1448 1450 1810 2500 2900 3620 3625 4525 5000 5249 5800 7240 7250 9050 10498 14500 18100 18125 20996 22625 26245 29000 36200 36250 41992 45250 52490 72500 90500 104980 113125 131225 145000 181000 209960 226250 262450 452500 524900 656125 905000 1049800 1312250 2624500 3280625 5249000 6561250 13122500 26245000