Search a number
-
+
5235050232 = 2332412816311
BaseRepresentation
bin1001110000000100…
…01000011011111000
3111111211200002212100
410320002020123320
541210133101412
62223245143400
7243505123056
oct47002103370
914454602770
105235050232
11224705a7a5
12102125ab60
13655768779
143793a91d6
152098d5edc
hex1380886f8

5235050232 has 96 divisors (see below), whose sum is σ = 14578068960. Its totient is φ = 1696128000.

The previous prime is 5235050231. The next prime is 5235050237. The reversal of 5235050232 is 2320505325.

It is a junction number, because it is equal to n+sod(n) for n = 5235050196 and 5235050205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5235050231) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 826357 + ... + 832667.

It is an arithmetic number, because the mean of its divisors is an integer number (151854885).

Almost surely, 25235050232 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 5235050232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7289034480).

5235050232 is an abundant number, since it is smaller than the sum of its proper divisors (9343018728).

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

5235050232 is a wasteful number, since it uses less digits than its factorization.

5235050232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 5235050232 is about 72353.6469847927. The cubic root of 5235050232 is about 1736.3620463931.

Adding to 5235050232 its reverse (2320505325), we get a palindrome (7555555557).

The spelling of 5235050232 in words is "five billion, two hundred thirty-five million, fifty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 281 328 369 492 562 738 843 984 1124 1476 1686 2248 2529 2952 3372 5058 6311 6744 10116 11521 12622 18933 20232 23042 25244 34563 37866 46084 50488 56799 69126 75732 92168 103689 113598 138252 151464 207378 227196 258751 276504 414756 454392 517502 776253 829512 1035004 1552506 1773391 2070008 2328759 3105012 3546782 4657518 5320173 6210024 7093564 9315036 10640346 14187128 15960519 18630072 21280692 31921038 42561384 63842076 72709031 127684152 145418062 218127093 290836124 436254186 581672248 654381279 872508372 1308762558 1745016744 2617525116 5235050232