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26448 = 2431929
BaseRepresentation
bin110011101010000
31100021120
412131100
51321243
6322240
7140052
oct63520
940246
1026448
1118964
1213380
13c066
1498d2
157c83
hex6750

26448 has 40 divisors (see below), whose sum is σ = 74400. Its totient is φ = 8064.

The previous prime is 26437. The next prime is 26449. The reversal of 26448 is 84462.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a d-powerful number, because it can be written as 213 + 64 + 43 + 47 + 83 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26449) 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 7 ways as a sum of consecutive naturals, for example, 898 + ... + 926.

It is an arithmetic number, because the mean of its divisors is an integer number (1860).

226448 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 26448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37200).

26448 is an abundant number, since it is smaller than the sum of its proper divisors (47952).

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

26448 is a wasteful number, since it uses less digits than its factorization.

26448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 53 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 26448 is about 162.6284108020. The cubic root of 26448 is about 29.7941462610.

It can be divided in two parts, 26 and 448, that added together give a palindrome (474).

The spelling of 26448 in words is "twenty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 48 57 58 76 87 114 116 152 174 228 232 304 348 456 464 551 696 912 1102 1392 1653 2204 3306 4408 6612 8816 13224 26448