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813360528 = 2434627593
BaseRepresentation
bin110000011110101…
…110010110010000
32002200110222220000
4300132232112100
53131210014103
6212413050000
726104310331
oct6036562620
92080428800
10813360528
11388136892
121a8486900
13cc680226
147a046288
154b615aa3
hex307ae590

813360528 has 50 divisors (see below), whose sum is σ = 2354105094. Its totient is φ = 271119744.

The previous prime is 813360517. The next prime is 813360551. The reversal of 813360528 is 825063318.

It can be written as a sum of positive squares in only one way, i.e., 446561424 + 366799104 = 21132^2 + 19152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 813360492 and 813360501.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 312501 + ... + 315092.

Almost surely, 2813360528 is an apocalyptic number.

It is an amenable number.

813360528 is an abundant number, since it is smaller than the sum of its proper divisors (1540744566).

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

813360528 is a wasteful number, since it uses less digits than its factorization.

813360528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627613 (or 627598 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 813360528 is about 28519.4762925268. The cubic root of 813360528 is about 933.4571017271.

The spelling of 813360528 in words is "eight hundred thirteen million, three hundred sixty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 627593 1255186 1882779 2510372 3765558 5020744 5648337 7531116 10041488 11296674 15062232 16945011 22593348 30124464 33890022 45186696 50835033 67780044 90373392 101670066 135560088 203340132 271120176 406680264 813360528