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26992 = 247241
BaseRepresentation
bin110100101110000
31101000201
412211300
51330432
6324544
7141460
oct64560
941021
1026992
1119309
1213754
13c394
149ba0
157ee7
hex6970

26992 has 20 divisors (see below), whose sum is σ = 60016. Its totient is φ = 11520.

The previous prime is 26987. The next prime is 26993. The reversal of 26992 is 29962.

26992 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 26992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26993) 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 3 ways as a sum of consecutive naturals, for example, 9 + ... + 232.

226992 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 26992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30008).

26992 is an abundant number, since it is smaller than the sum of its proper divisors (33024).

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

26992 is a wasteful number, since it uses less digits than its factorization.

26992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its digits is 1944, while the sum is 28.

The square root of 26992 is about 164.2924222233. The cubic root of 26992 is about 29.9970367444.

It can be divided in two parts, 2699 and 2, that added together give a triangular number (2701 = T73).

The spelling of 26992 in words is "twenty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 241 482 964 1687 1928 3374 3856 6748 13496 26992