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804224 = 2761103
BaseRepresentation
bin11000100010110000000
31111212012002
43010112000
5201213344
625123132
76556451
oct3042600
91455162
10804224
114aa253
123294a8
13222095
1416d128
1510d44e
hexc4580

804224 has 32 divisors (see below), whose sum is σ = 1644240. Its totient is φ = 391680.

The previous prime is 804211. The next prime is 804239. The reversal of 804224 is 422408.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 804196 and 804205.

It is a congruent number.

It is an unprimeable number.

804224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7757 + ... + 7859.

2804224 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 804224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822120).

804224 is an abundant number, since it is smaller than the sum of its proper divisors (840016).

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

804224 is a wasteful number, since it uses less digits than its factorization.

804224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 804224 is about 896.7853700858. The cubic root of 804224 is about 92.9948738840.

The spelling of 804224 in words is "eight hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 64 103 122 128 206 244 412 488 824 976 1648 1952 3296 3904 6283 6592 7808 12566 13184 25132 50264 100528 201056 402112 804224