Search a number
-
+
26801856 = 2632193179
BaseRepresentation
bin110011000111…
…1011011000000
31212102200020100
41212033123000
523330124411
62354242400
7443545344
oct146173300
955380210
1026801856
11141466a4
128b86400
1357253b3
1437b9624
152546456
hex198f6c0

26801856 has 168 divisors, whose sum is σ = 84531200. Its totient is φ = 8087040.

The previous prime is 26801839. The next prime is 26801869. The reversal of 26801856 is 65810862.

It is a happy number.

26801856 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 26801856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339225 + ... + 339303.

Almost surely, 226801856 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 26801856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42265600).

26801856 is an abundant number, since it is smaller than the sum of its proper divisors (57729344).

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

26801856 is a wasteful number, since it uses less digits than its factorization.

26801856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 26801856 is about 5177.0508979534. The cubic root of 26801856 is about 299.2643307773.

The spelling of 26801856 in words is "twenty-six million, eight hundred one thousand, eight hundred fifty-six".