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4252053300 = 22352115921839
BaseRepresentation
bin1111110101110001…
…0010111100110100
3101222022222200120120
43331130102330310
532202011201200
61541532131540
7210240566565
oct37534227464
911868880516
104252053300
11189219a640
129a8006bb0
13529c02891
142c4a0616c
1519d4629a0
hexfd712f34

4252053300 has 144 divisors (see below), whose sum is σ = 13649126400. Its totient is φ = 1013283200.

The previous prime is 4252053287. The next prime is 4252053307. The reversal of 4252053300 is 33502524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4252053307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183781 + ... + 205619.

It is an arithmetic number, because the mean of its divisors is an integer number (94785600).

Almost surely, 24252053300 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 4252053300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824563200).

4252053300 is an abundant number, since it is smaller than the sum of its proper divisors (9397073100).

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

4252053300 is a wasteful number, since it uses less digits than its factorization.

4252053300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21926 (or 21919 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 4252053300 is about 65207.7702425102. The cubic root of 4252053300 is about 1620.0667172645.

Adding to 4252053300 its reverse (33502524), we get a palindrome (4285555824).

The spelling of 4252053300 in words is "four billion, two hundred fifty-two million, fifty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 59 60 66 75 100 110 118 132 150 165 177 220 236 275 295 300 330 354 550 590 649 660 708 825 885 1100 1180 1298 1475 1650 1770 1947 2596 2950 3245 3300 3540 3894 4425 5900 6490 7788 8850 9735 12980 16225 17700 19470 21839 32450 38940 43678 48675 64900 65517 87356 97350 109195 131034 194700 218390 240229 262068 327585 436780 480458 545975 655170 720687 960916 1091950 1201145 1288501 1310340 1441374 1637925 2183900 2402290 2577002 2882748 3275850 3603435 3865503 4804580 5154004 6005725 6442505 6551700 7206870 7731006 12011450 12885010 14173511 14413740 15462012 18017175 19327515 24022900 25770020 28347022 32212525 36034350 38655030 42520533 56694044 64425050 70867555 72068700 77310060 85041066 96637575 128850100 141735110 170082132 193275150 212602665 283470220 354337775 386550300 425205330 708675550 850410660 1063013325 1417351100 2126026650 4252053300