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813447441 = 3431692
BaseRepresentation
bin110000011111000…
…011100100010001
32002200122102010000
4300133003210101
53131220304231
6212415000213
726105121612
oct6037034421
92080572100
10813447441
11388196114
121a8509069
13cc6b0961
147a069c09
154b6316e6
hex307c3911

813447441 has 15 divisors (see below), whose sum is σ = 1215533451. Its totient is φ = 542127168.

The previous prime is 813447407. The next prime is 813447461. The reversal of 813447441 is 144744318.

It is a happy number.

The square root of 813447441 is 28521.

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

It can be written as a sum of positive squares in only one way, i.e., 672313041 + 141134400 = 25929^2 + 11880^2 .

It is not a de Polignac number, because 813447441 - 217 = 813316369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 813447396 and 813447405.

It is not an unprimeable number, because it can be changed into a prime (813447461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 255105 + ... + 258273.

Almost surely, 2813447441 is an apocalyptic number.

813447441 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

813447441 is the 28521-st square number.

813447441 is the 14261-st centered octagonal number.

It is an amenable number.

813447441 is a deficient number, since it is larger than the sum of its proper divisors (402086010).

813447441 is an frugal number, since it uses more digits than its factorization.

813447441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6350 (or 3172 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The cubic root of 813447441 is about 933.4903492496.

Multiplying 813447441 by its sum of digits (36), we get a square (29284107876 = 1711262).

The spelling of 813447441 in words is "eight hundred thirteen million, four hundred forty-seven thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 3169 9507 28521 85563 256689 10042561 30127683 90383049 271149147 813447441