Search a number
-
+
5389229520 = 243258299029
BaseRepresentation
bin1010000010011100…
…10001110111010000
3111220120210020002100
411001032101313100
542014120321040
62250433520400
7250356460263
oct50116216720
914816706070
105389229520
1123160969a4
121064a13100
1367b69ba0c
14391a60cda
152181ddb30
hex141391dd0

5389229520 has 120 divisors (see below), whose sum is σ = 18122668200. Its totient is φ = 1435235328.

The previous prime is 5389229513. The next prime is 5389229533. The reversal of 5389229520 is 259229835.

5389229520 is a `hidden beast` number, since 5 + 38 + 92 + 2 + 9 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2404137024 + 2985092496 = 49032^2 + 54636^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 592366 + ... + 601394.

It is an arithmetic number, because the mean of its divisors is an integer number (151022235).

Almost surely, 25389229520 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 5389229520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9061334100).

5389229520 is an abundant number, since it is smaller than the sum of its proper divisors (12733438680).

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

5389229520 is a wasteful number, since it uses less digits than its factorization.

5389229520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9877 (or 9868 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5389229520 is about 73411.3718711209. The cubic root of 5389229520 is about 1753.2434564167.

The spelling of 5389229520 in words is "five billion, three hundred eighty-nine million, two hundred twenty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 829 1658 2487 3316 4145 4974 6632 7461 8290 9029 9948 12435 13264 14922 16580 18058 19896 24870 27087 29844 33160 36116 37305 39792 45145 49740 54174 59688 66320 72232 74610 81261 90290 99480 108348 119376 135435 144464 149220 162522 180580 198960 216696 270870 298440 325044 361160 406305 433392 541740 596880 650088 722320 812610 1083480 1300176 1625220 2166960 3250440 6500880 7485041 14970082 22455123 29940164 37425205 44910246 59880328 67365369 74850410 89820492 112275615 119760656 134730738 149700820 179640984 224551230 269461476 299401640 336826845 359281968 449102460 538922952 598803280 673653690 898204920 1077845904 1347307380 1796409840 2694614760 5389229520