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26424 = 2332367
BaseRepresentation
bin110011100111000
31100020200
412130320
51321144
6322200
7140016
oct63470
940220
1026424
1118942
1213360
13c048
1498b6
157c69
hex6738

26424 has 24 divisors (see below), whose sum is σ = 71760. Its totient is φ = 8784.

The previous prime is 26423. The next prime is 26431. The reversal of 26424 is 42462.

26424 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 6.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 26397 and 26406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26423) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112 + ... + 255.

It is an arithmetic number, because the mean of its divisors is an integer number (2990).

226424 is an apocalyptic number.

26424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26424 is an abundant number, since it is smaller than the sum of its proper divisors (45336).

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

26424 is a wasteful number, since it uses less digits than its factorization.

26424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 372 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 26424 is about 162.5546062097. The cubic root of 26424 is about 29.7851313902.

Adding to 26424 its reverse (42462), we get a palindrome (68886).

It can be divided in two parts, 264 and 24, that multiplied together give a palindrome (6336).

The spelling of 26424 in words is "twenty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 367 734 1101 1468 2202 2936 3303 4404 6606 8808 13212 26424