Search a number
-
+
5235440000 = 275479349
BaseRepresentation
bin1001110000000111…
…00111100110000000
3111111212101220112012
410320003213212000
541210233040000
62223301352052
7243511335320
oct47003474600
914455356465
105235440000
1122472a661a
121021408628
13655873cbb
1437946b280
15209961735
hex1380e7980

5235440000 has 160 divisors (see below), whose sum is σ = 14896794000. Its totient is φ = 1794816000.

The previous prime is 5235439997. The next prime is 5235440033. The reversal of 5235440000 is 445325.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 555326 + ... + 564674.

Almost surely, 25235440000 is an apocalyptic number.

5235440000 is a gapful number since it is divisible by the number (50) 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 5235440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7448397000).

5235440000 is an abundant number, since it is smaller than the sum of its proper divisors (9661354000).

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

5235440000 is an frugal number, since it uses more digits than its factorization.

5235440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9390 (or 9363 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 5235440000 is about 72356.3404270835. The cubic root of 5235440000 is about 1736.4051380883.

Adding to 5235440000 its reverse (445325), we get a palindrome (5235885325).

The spelling of 5235440000 in words is "five billion, two hundred thirty-five million, four hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 625 640 700 800 875 896 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3200 3500 4000 4375 4480 5000 5600 7000 8000 8750 9349 10000 11200 14000 16000 17500 18698 20000 22400 28000 35000 37396 40000 46745 56000 65443 70000 74792 80000 93490 112000 130886 140000 149584 186980 233725 261772 280000 299168 327215 373960 467450 523544 560000 598336 654430 747920 934900 1047088 1168625 1196672 1308860 1495840 1636075 1869800 2094176 2337250 2617720 2991680 3272150 3739600 4188352 4674500 5235440 5843125 5983360 6544300 7479200 8180375 8376704 9349000 10470880 11686250 13088600 14958400 16360750 18698000 20941760 23372500 26177200 29916800 32721500 37396000 40901875 41883520 46745000 52354400 65443000 74792000 81803750 93490000 104708800 130886000 149584000 163607500 186980000 209417600 261772000 327215000 373960000 523544000 654430000 747920000 1047088000 1308860000 2617720000 5235440000