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26096 = 247233
BaseRepresentation
bin110010111110000
31022210112
412113300
51313341
6320452
7136040
oct62760
938715
1026096
1118674
1213128
13bb55
149720
157aeb
hex65f0

26096 has 20 divisors (see below), whose sum is σ = 58032. Its totient is φ = 11136.

The previous prime is 26083. The next prime is 26099. The reversal of 26096 is 69062.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 13 and base 14.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26099) by changing a digit.

26096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 228.

226096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016).

26096 is an abundant number, since it is smaller than the sum of its proper divisors (31936).

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

26096 is a wasteful number, since it uses less digits than its factorization.

26096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 26096 is about 161.5425640505. The cubic root of 26096 is about 29.6613773903.

The spelling of 26096 in words is "twenty-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 233 466 932 1631 1864 3262 3728 6524 13048 26096