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817339649 = 72149111949
BaseRepresentation
bin110000101101111…
…001110100000001
32002221222011012212
4300231321310001
53133214332044
6213034231505
726153162300
oct6055716401
92087864185
10817339649
1138a404415
121a9885595
13100444439
147a7a0437
154bb4ea9e
hex30b79d01

817339649 has 12 divisors (see below), whose sum is σ = 957172500. Its totient is φ = 695868768.

The previous prime is 817339643. The next prime is 817339667. The reversal of 817339649 is 946933718.

It can be written as a sum of positive squares in 2 ways, for example, as 32947600 + 784392049 = 5740^2 + 28007^2 .

It is not a de Polignac number, because 817339649 - 228 = 548904193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 817339597 and 817339606.

It is not an unprimeable number, because it can be changed into a prime (817339643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48674 + ... + 63275.

It is an arithmetic number, because the mean of its divisors is an integer number (79764375).

Almost surely, 2817339649 is an apocalyptic number.

It is an amenable number.

817339649 is a deficient number, since it is larger than the sum of its proper divisors (139832851).

817339649 is a wasteful number, since it uses less digits than its factorization.

817339649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112112 (or 112105 counting only the distinct ones).

The product of its digits is 979776, while the sum is 50.

The square root of 817339649 is about 28589.1526457151. The cubic root of 817339649 is about 934.9768452043.

The spelling of 817339649 in words is "eight hundred seventeen million, three hundred thirty-nine thousand, six hundred forty-nine".

Divisors: 1 7 49 149 1043 7301 111949 783643 5485501 16680401 116762807 817339649