Search a number
-
+
5300789328 = 24321911091747
BaseRepresentation
bin1001110111111001…
…11010000001010000
3111200102100222221200
410323330322001100
541324000224303
62233554151200
7245233652202
oct47374720120
914612328850
105300789328
11228018052a
12103b282500
13666274a43
14383ddc772
1521056e3a3
hex13bf3a050

5300789328 has 120 divisors (see below), whose sum is σ = 15638656800. Its totient is φ = 1671466752.

The previous prime is 5300789311. The next prime is 5300789357. The reversal of 5300789328 is 8239870035.

5300789328 is a `hidden beast` number, since 530 + 0 + 7 + 8 + 93 + 28 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3033351 + ... + 3035097.

It is an arithmetic number, because the mean of its divisors is an integer number (130322140).

Almost surely, 25300789328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5300789328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819328400).

5300789328 is an abundant number, since it is smaller than the sum of its proper divisors (10337867472).

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

5300789328 is a wasteful number, since it uses less digits than its factorization.

5300789328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5300789328 is about 72806.5198179394. The cubic root of 5300789328 is about 1743.5999506760.

The spelling of 5300789328 in words is "five billion, three hundred million, seven hundred eighty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1109 1368 1747 2218 2736 3327 3494 4436 5241 6654 6988 8872 9981 10482 13308 13976 15723 17744 19962 20964 21071 26616 27952 31446 33193 39924 41928 42142 53232 62892 63213 66386 79848 83856 84284 99579 125784 126426 132772 159696 168568 189639 199158 251568 252852 265544 298737 337136 379278 398316 505704 531088 597474 758556 796632 1011408 1194948 1517112 1593264 1937423 2389896 3034224 3874846 4779792 5812269 7749692 11624538 15499384 17436807 23249076 30998768 34873614 36811037 46498152 69747228 73622074 92996304 110433111 139494456 147244148 220866222 278988912 294488296 331299333 441732444 588976592 662598666 883464888 1325197332 1766929776 2650394664 5300789328