Search a number
-
+
5790494040 = 2335199242483
BaseRepresentation
bin1010110010010001…
…11110110101011000
3112221112211120112020
411121020332311120
543324331302130
62354330214440
7263331246552
oct53110766530
915845746466
105790494040
112501645971
121157284420
13713863a46
143cd0744d2
1523d551e10
hex15923ed58

5790494040 has 64 divisors (see below), whose sum is σ = 17458848000. Its totient is φ = 1536365952.

The previous prime is 5790494011. The next prime is 5790494057. The reversal of 5790494040 is 404940975.

It is a junction number, because it is equal to n+sod(n) for n = 5790493983 and 5790494001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 97362 + ... + 145121.

It is an arithmetic number, because the mean of its divisors is an integer number (272794500).

Almost surely, 25790494040 is an apocalyptic number.

It is an amenable number.

5790494040 is an abundant number, since it is smaller than the sum of its proper divisors (11668353960).

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

5790494040 is a wasteful number, since it uses less digits than its factorization.

5790494040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242696 (or 242692 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 5790494040 is about 76095.2957810140. The cubic root of 5790494040 is about 1795.7196691117.

The spelling of 5790494040 in words is "five billion, seven hundred ninety million, four hundred ninety-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1592 1990 2388 2985 3980 4776 5970 7960 11940 23880 242483 484966 727449 969932 1212415 1454898 1939864 2424830 2909796 3637245 4849660 5819592 7274490 9699320 14548980 29097960 48254117 96508234 144762351 193016468 241270585 289524702 386032936 482541170 579049404 723811755 965082340 1158098808 1447623510 1930164680 2895247020 5790494040