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5790905604 = 223211211532
BaseRepresentation
bin1010110010010101…
…00011010100000100
3112221120121111002100
411121022203110010
543324432434404
62354343112100
7263334612501
oct53112432404
915846544070
105790905604
1125018a7100
121157442630
13713979183
143cd1404a8
1523d5d3d39
hex1592a3504

5790905604 has 81 divisors (see below), whose sum is σ = 16103803989. Its totient is φ = 1753297920.

The previous prime is 5790905567. The next prime is 5790905623. The reversal of 5790905604 is 4065090975.

It is a happy number.

The square root of 5790905604 is 76098.

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., 4576522500 + 1214383104 = 67650^2 + 34848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5790905604.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 5021892 + ... + 5023044.

Almost surely, 25790905604 is an apocalyptic number.

5790905604 is the 76098-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5790905604

5790905604 is an abundant number, since it is smaller than the sum of its proper divisors (10312898385).

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

5790905604 is a wasteful number, since it uses less digits than its factorization.

5790905604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The cubic root of 5790905604 is about 1795.7622121748.

The spelling of 5790905604 in words is "five billion, seven hundred ninety million, nine hundred five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1153 1452 2178 2306 3459 4356 4612 6918 10377 12683 13836 20754 25366 38049 41508 50732 76098 114147 139513 152196 228294 279026 418539 456588 558052 837078 1255617 1329409 1674156 2511234 2658818 3988227 5022468 5317636 7976454 11964681 14623499 15952908 23929362 29246998 43870497 47858724 58493996 87740994 131611491 160858489 175481988 263222982 321716978 482575467 526445964 643433956 965150934 1447726401 1930301868 2895452802 5790905604