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813217149 = 3290357461
BaseRepresentation
bin110000011110001…
…011010101111101
32002200012201012200
4300132023111331
53131140422044
6212410022113
726103142323
oct6036132575
92080181180
10813217149
11388049098
121a8417939
13cc62cba4
147a009d13
154b5d8369
hex3078b57d

813217149 has 6 divisors (see below), whose sum is σ = 1174647006. Its totient is φ = 542144760.

The previous prime is 813217129. The next prime is 813217189. The reversal of 813217149 is 941712318.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 560979225 + 252237924 = 23685^2 + 15882^2 .

It is not a de Polignac number, because 813217149 - 217 = 813086077 is a prime.

It is a super-2 number, since 2×8132171492 = 1322644262855376402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813217109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45178722 + ... + 45178739.

It is an arithmetic number, because the mean of its divisors is an integer number (195774501).

Almost surely, 2813217149 is an apocalyptic number.

It is an amenable number.

813217149 is a deficient number, since it is larger than the sum of its proper divisors (361429857).

813217149 is a wasteful number, since it uses less digits than its factorization.

813217149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90357467 (or 90357464 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 813217149 is about 28516.9624784969. The cubic root of 813217149 is about 933.4022486386.

It can be divided in two parts, 8132 and 17149, that added together give a square (25281 = 1592).

The spelling of 813217149 in words is "eight hundred thirteen million, two hundred seventeen thousand, one hundred forty-nine".

Divisors: 1 3 9 90357461 271072383 813217149