Search a number
-
+
5797592768 = 2611291991427
BaseRepresentation
bin1010110011001000…
…00011111011000000
3112222001012020011002
411121210003323000
543333140432033
62355142311132
7263445503552
oct53144037300
915861166132
105797592768
112505654290
1211597284a8
1371517ab86
143cdda14d2
1523dea53e8
hex159903ec0

5797592768 has 112 divisors (see below), whose sum is σ = 13057632000. Its totient is φ = 2529838080.

The previous prime is 5797592761. The next prime is 5797592791. The reversal of 5797592768 is 8672957975.

It is a super-2 number, since 2×57975927682 = 67224163807131803648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5797592761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4062071 + ... + 4063497.

It is an arithmetic number, because the mean of its divisors is an integer number (116586000).

Almost surely, 25797592768 is an apocalyptic number.

5797592768 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5797592768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528816000).

5797592768 is an abundant number, since it is smaller than the sum of its proper divisors (7260039232).

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

5797592768 is a wasteful number, since it uses less digits than its factorization.

5797592768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1668 counting only the distinct ones).

The product of its digits is 66679200, while the sum is 65.

The square root of 5797592768 is about 76141.9251661002. The cubic root of 5797592768 is about 1796.4531770445.

The spelling of 5797592768 in words is "five billion, seven hundred ninety-seven million, five hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 199 232 319 352 398 464 638 704 796 928 1276 1427 1592 1856 2189 2552 2854 3184 4378 5104 5708 5771 6368 8756 10208 11416 11542 12736 15697 17512 20416 22832 23084 31394 35024 41383 45664 46168 62788 63481 70048 82766 91328 92336 125576 126962 140096 165532 184672 251152 253924 283973 331064 369344 455213 502304 507848 567946 662128 910426 1004608 1015696 1135892 1324256 1820852 2031392 2271784 2648512 3123703 3641704 4062784 4543568 6247406 7283408 8235217 9087136 12494812 14566816 16470434 18174272 24989624 29133632 32940868 49979248 65881736 90587387 99958496 131763472 181174774 199916992 263526944 362349548 527053888 724699096 1449398192 2898796384 5797592768