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804256 = 2541613
BaseRepresentation
bin11000100010110100000
31111212020021
43010112200
5201214011
625123224
76556525
oct3042640
91455207
10804256
114aa282
12329514
132220bb
1416d14c
1510d471
hexc45a0

804256 has 24 divisors (see below), whose sum is σ = 1624644. Its totient is φ = 391680.

The previous prime is 804239. The next prime is 804259. The reversal of 804256 is 652408.

It can be written as a sum of positive squares in 2 ways, for example, as 512656 + 291600 = 716^2 + 540^2 .

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 804256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804259) 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, 1006 + ... + 1618.

2804256 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 804256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812322).

804256 is an abundant number, since it is smaller than the sum of its proper divisors (820388).

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

804256 is a wasteful number, since it uses less digits than its factorization.

804256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 804256 is about 896.8032114126. The cubic root of 804256 is about 92.9961072869.

The spelling of 804256 in words is "eight hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 41 82 164 328 613 656 1226 1312 2452 4904 9808 19616 25133 50266 100532 201064 402128 804256