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26385216 = 2631113312
BaseRepresentation
bin110010010100…
…1101101000000
31211122111201020
41210221231000
523223311331
62341305440
7440161554
oct144515500
954574636
1026385216
1113991670
128a05280
13560a870
14370b864
1524b2c96
hex1929b40

26385216 has 168 divisors, whose sum is σ = 84746592. Its totient is φ = 7142400.

The previous prime is 26385199. The next prime is 26385239. The reversal of 26385216 is 61258362.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (17280) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851121 + ... + 851151.

It is an arithmetic number, because the mean of its divisors is an integer number (504444).

Almost surely, 226385216 is an apocalyptic number.

26385216 is a gapful number since it is divisible by the number (26) 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 26385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42373296).

26385216 is an abundant number, since it is smaller than the sum of its proper divisors (58361376).

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

26385216 is a wasteful number, since it uses less digits than its factorization.

26385216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 26385216 is about 5136.6541639476. The cubic root of 26385216 is about 297.7055181382.

The spelling of 26385216 in words is "twenty-six million, three hundred eighty-five thousand, two hundred sixteen".