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810813204 = 2232232933767
BaseRepresentation
bin110000010101000…
…000011100010100
32002111200120121200
4300111000130110
53130032010304
6212242312500
726043540615
oct6025003424
92074616550
10810813204
11386756a63
121a7658730
13cbc9a936
1479981c0c
154b2b0e39
hex30540714

810813204 has 72 divisors (see below), whose sum is σ = 2212479360. Its totient is φ = 249598272.

The previous prime is 810813187. The next prime is 810813209. The reversal of 810813204 is 402318018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810813209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7129 + ... + 40895.

It is an arithmetic number, because the mean of its divisors is an integer number (30728880).

Almost surely, 2810813204 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 810813204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106239680).

810813204 is an abundant number, since it is smaller than the sum of its proper divisors (1401666156).

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

810813204 is a wasteful number, since it uses less digits than its factorization.

810813204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33829 (or 33824 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 810813204 is about 28474.7818955651. The cubic root of 810813204 is about 932.4815997826.

It can be divided in two parts, 8108 and 13204, that added together give a palindrome (21312).

The spelling of 810813204 in words is "eight hundred ten million, eight hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 207 261 276 348 414 522 667 828 1044 1334 2001 2668 4002 6003 8004 12006 24012 33767 67534 101301 135068 202602 303903 405204 607806 776641 979243 1215612 1553282 1958486 2329923 2937729 3106564 3916972 4659846 5875458 6989769 8813187 9319692 11750916 13979538 17626374 22522589 27959076 35252748 45045178 67567767 90090356 135135534 202703301 270271068 405406602 810813204