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26348 = 227941
BaseRepresentation
bin110011011101100
31100010212
412123230
51320343
6321552
7136550
oct63354
940125
1026348
1118883
12132b8
13bcba
149860
157c18
hex66ec

26348 has 12 divisors (see below), whose sum is σ = 52752. Its totient is φ = 11280.

The previous prime is 26347. The next prime is 26357. The reversal of 26348 is 84362.

It is a happy number.

26348 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

26348 is an admirable number.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (26347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 443 + ... + 498.

It is an arithmetic number, because the mean of its divisors is an integer number (4396).

26348 is a Friedman number, since it can be written as 4*(26+3^8), using all its digits and the basic arithmetic operations.

226348 is an apocalyptic number.

26348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

26348 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (26376).

26348 is a wasteful number, since it uses less digits than its factorization.

26348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 950 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 26348 is about 162.3206702795. The cubic root of 26348 is about 29.7565482373.

The spelling of 26348 in words is "twenty-six thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 28 941 1882 3764 6587 13174 26348