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26550 = 2325259
BaseRepresentation
bin110011110110110
31100102100
412132312
51322200
6322530
7140256
oct63666
940370
1026550
1118a47
1213446
13c114
149966
157d00
hex67b6

26550 has 36 divisors (see below), whose sum is σ = 72540. Its totient is φ = 6960.

The previous prime is 26539. The next prime is 26557. The reversal of 26550 is 5562.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a plaindrome in base 12.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26557) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 421 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (2015).

226550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36270).

26550 is an abundant number, since it is smaller than the sum of its proper divisors (45990).

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

26550 is a wasteful number, since it uses less digits than its factorization.

26550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 26550 is about 162.9417073680. The cubic root of 26550 is about 29.8323987376.

It can be divided in two parts, 26 and 550, that added together give a square (576 = 242).

The spelling of 26550 in words is "twenty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 59 75 90 118 150 177 225 295 354 450 531 590 885 1062 1475 1770 2655 2950 4425 5310 8850 13275 26550