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26496 = 273223
BaseRepresentation
bin110011110000000
31100100100
412132000
51321441
6322400
7140151
oct63600
940310
1026496
11189a8
1213400
13c0a2
149928
157cb6
hex6780

26496 has 48 divisors (see below), whose sum is σ = 79560. Its totient is φ = 8448.

The previous prime is 26489. The next prime is 26497. The reversal of 26496 is 69462.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26497) 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, 1141 + ... + 1163.

26496 is a Friedman number, since it can be written as 46*9*2^6, using all its digits and the basic arithmetic operations.

226496 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 26496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39780).

26496 is an abundant number, since it is smaller than the sum of its proper divisors (53064).

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

26496 is a wasteful number, since it uses less digits than its factorization.

26496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 28 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 26496 is about 162.7759195950. The cubic root of 26496 is about 29.8121596549.

The spelling of 26496 in words is "twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 26496