Search a number
-
+
2543545242 = 2327371035297
BaseRepresentation
bin1001011110011011…
…0110101110011010
320120021010111010100
42113212312232122
520202121421432
61100221000230
7120013530540
oct22746665632
96507114110
102543545242
111095846207
125ab9b3076
13316c67874
141a1b47d90
15ed47d07c
hex979b6b9a

2543545242 has 96 divisors (see below), whose sum is σ = 6532561152. Its totient is φ = 700088832.

The previous prime is 2543545237. The next prime is 2543545259. The reversal of 2543545242 is 2425453452.

2543545242 is a `hidden beast` number, since 254 + 354 + 52 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2543545197 and 2543545206.

It is an unprimeable number.

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, 477538 + ... + 482834.

It is an arithmetic number, because the mean of its divisors is an integer number (68047512).

Almost surely, 22543545242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2543545242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266280576).

2543545242 is an abundant number, since it is smaller than the sum of its proper divisors (3989015910).

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

2543545242 is a wasteful number, since it uses less digits than its factorization.

2543545242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5452 (or 5449 counting only the distinct ones).

The product of its digits is 192000, while the sum is 36.

The square root of 2543545242 is about 50433.5725682803. The cubic root of 2543545242 is about 1365.0434925562.

Adding to 2543545242 its reverse (2425453452), we get a palindrome (4968998694).

The spelling of 2543545242 in words is "two billion, five hundred forty-three million, five hundred forty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 103 111 126 206 222 259 309 333 518 618 666 721 777 927 1442 1554 1854 2163 2331 3811 4326 4662 5297 6489 7622 10594 11433 12978 15891 22866 26677 31782 34299 37079 47673 53354 68598 74158 80031 95346 111237 160062 195989 222474 240093 333711 391978 480186 545591 587967 667422 1091182 1175934 1371923 1636773 1763901 2743846 3273546 3527802 3819137 4115769 4910319 7638274 8231538 9820638 11457411 12347307 20186867 22914822 24694614 34372233 40373734 60560601 68744466 121121202 141308069 181681803 282616138 363363606 423924207 847848414 1271772621 2543545242