Search a number
-
+
5303555757 = 34296137013
BaseRepresentation
bin1001111000001110…
…11101011010101101
3111200121120112210000
410330013131122231
541330202241012
62234133334513
7245266323453
oct47407353255
914617515700
105303555757
11228179aa35
121040197439
13666a02c96
1438451c9d3
15210918ddc
hex13c1dd6ad

5303555757 has 40 divisors (see below), whose sum is σ = 8330370840. Its totient is φ = 3357728640.

The previous prime is 5303555729. The next prime is 5303555767. The reversal of 5303555757 is 7575553035.

It can be written as a sum of positive squares in 4 ways, for example, as 59768361 + 5243787396 = 7731^2 + 72414^2 .

It is not a de Polignac number, because 5303555757 - 210 = 5303554733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5303555767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 124783 + ... + 161795.

It is an arithmetic number, because the mean of its divisors is an integer number (208259271).

Almost surely, 25303555757 is an apocalyptic number.

It is an amenable number.

5303555757 is a deficient number, since it is larger than the sum of its proper divisors (3026815083).

5303555757 is a wasteful number, since it uses less digits than its factorization.

5303555757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37115 (or 37106 counting only the distinct ones).

The product of its (nonzero) digits is 1378125, while the sum is 45.

The square root of 5303555757 is about 72825.5158375140. The cubic root of 5303555757 is about 1743.9032203900.

The spelling of 5303555757 in words is "five billion, three hundred three million, five hundred fifty-five thousand, seven hundred fifty-seven".

Divisors: 1 3 9 27 29 61 81 87 183 261 549 783 1647 1769 2349 4941 5307 15921 37013 47763 111039 143289 333117 999351 1073377 2257793 2998053 3220131 6773379 9660393 20320137 28981179 60960411 65475997 86943537 182881233 196427991 589283973 1767851919 5303555757