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26950 = 2527211
BaseRepresentation
bin110100101000110
31100222011
412211012
51330300
6324434
7141400
oct64506
940864
1026950
1119280
121371a
13c361
149b70
157eba
hex6946

26950 has 36 divisors (see below), whose sum is σ = 63612. Its totient is φ = 8400.

The previous prime is 26947. The next prime is 26951. The reversal of 26950 is 5962.

Multipling 26950 by its sum of digits (22), we get a square (592900 = 7702).

26950 divided by its sum of digits (22) gives a triangular number (1225 = T49).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2445 + ... + 2455.

It is an arithmetic number, because the mean of its divisors is an integer number (1767).

226950 is an apocalyptic number.

26950 is an abundant number, since it is smaller than the sum of its proper divisors (36662).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31806).

26950 is a wasteful number, since it uses less digits than its factorization.

26950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 26950 is about 164.1645515938. The cubic root of 26950 is about 29.9814700385.

The spelling of 26950 in words is "twenty-six thousand, nine hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 49 50 55 70 77 98 110 154 175 245 275 350 385 490 539 550 770 1078 1225 1925 2450 2695 3850 5390 13475 26950