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804852 = 223279283
BaseRepresentation
bin11000100011111110100
31111220001100
43010133310
5201223402
625130100
76561336
oct3043764
91456040
10804852
114aa774
12329930
13222459
1416d456
1510d71c
hexc47f4

804852 has 36 divisors (see below), whose sum is σ = 2067520. Its totient is φ = 263952.

The previous prime is 804847. The next prime is 804857. The reversal of 804852 is 258408.

It is an interprime number because it is at equal distance from previous prime (804847) and next prime (804857).

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a plaindrome in base 13.

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 804852.

It is not an unprimeable number, because it can be changed into a prime (804857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2703 + ... + 2985.

2804852 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 804852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033760).

804852 is an abundant number, since it is smaller than the sum of its proper divisors (1262668).

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

804852 is a wasteful number, since it uses less digits than its factorization.

804852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 804852 is about 897.1354412796. The cubic root of 804852 is about 93.0190734379.

It can be divided in two parts, 8048 and 52, that added together give a square (8100 = 902).

The spelling of 804852 in words is "eight hundred four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 283 316 474 566 711 849 948 1132 1422 1698 2547 2844 3396 5094 10188 22357 44714 67071 89428 134142 201213 268284 402426 804852