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804573225 = 3252312612
BaseRepresentation
bin101111111101001…
…101000000101001
32002001221112222100
4233331031000221
53121432320400
6211500444013
725636521351
oct5775150051
92061845870
10804573225
11383184855
121a5549609
13ca8c4641
1478bd9b61
154a97c100
hex2ff4d029

804573225 has 81 divisors (see below), whose sum is σ = 1513877157. Its totient is φ = 408456000.

The previous prime is 804573197. The next prime is 804573227. The reversal of 804573225 is 522375408.

The square root of 804573225 is 28365.

It is a perfect power (a square), and thus also a powerful number.

804573225 is a `hidden beast` number, since 80 + 4 + 573 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 370601001 + 433972224 = 19251^2 + 20832^2 .

It is not a de Polignac number, because 804573225 - 211 = 804571177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 804573225.

It is not an unprimeable number, because it can be changed into a prime (804573227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13189695 + ... + 13189755.

Almost surely, 2804573225 is an apocalyptic number.

804573225 is the 28365-th square number.

804573225 is the 14183-rd centered octagonal number.

It is an amenable number.

804573225 is a deficient number, since it is larger than the sum of its proper divisors (709303932).

804573225 is a wasteful number, since it uses less digits than its factorization.

804573225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The cubic root of 804573225 is about 930.0833258673.

Multiplying 804573225 by its sum of digits (36), we get a square (28964636100 = 1701902).

The spelling of 804573225 in words is "eight hundred four million, five hundred seventy-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 61 75 93 155 183 225 279 305 465 549 775 915 961 1395 1525 1891 2325 2745 2883 3721 4575 4805 5673 6975 8649 9455 11163 13725 14415 17019 18605 24025 28365 33489 43245 47275 55815 58621 72075 85095 93025 115351 141825 167445 175863 216225 279075 293105 346053 425475 527589 576755 837225 879315 1038159 1465525 1730265 2637945 2883775 3575881 4396575 5190795 8651325 10727643 13189725 17879405 25953975 32182929 53638215 89397025 160914645 268191075 804573225