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2543233242 = 2311293142863
BaseRepresentation
bin1001011110010110…
…1010100011011010
320120020112122010210
42113211222203122
520202031430432
61100210151550
7120011061114
oct22745524332
96506478123
102543233242
111095652860
125ab8825b6
13316b88854
141a1aa63b4
15ed41a8cc
hex9796a8da

2543233242 has 64 divisors (see below), whose sum is σ = 5925519360. Its totient is φ = 720081600.

The previous prime is 2543233219. The next prime is 2543233307. The reversal of 2543233242 is 2423323452.

It is a happy number.

It is a super-3 number, since 3×25432332423 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37903 + ... + 80765.

It is an arithmetic number, because the mean of its divisors is an integer number (92586240).

Almost surely, 22543233242 is an apocalyptic number.

2543233242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2543233242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962759680).

2543233242 is an abundant number, since it is smaller than the sum of its proper divisors (3382286118).

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

2543233242 is a wasteful number, since it uses less digits than its factorization.

2543233242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42939.

The product of its digits is 34560, while the sum is 30.

The square root of 2543233242 is about 50430.4792957592. The cubic root of 2543233242 is about 1364.9876766320.

Adding to 2543233242 its reverse (2423323452), we get a palindrome (4966556694).

The spelling of 2543233242 in words is "two billion, five hundred forty-three million, two hundred thirty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 29 31 33 58 62 66 87 93 174 186 319 341 638 682 899 957 1023 1798 1914 2046 2697 5394 9889 19778 29667 42863 59334 85726 128589 257178 471493 942986 1243027 1328753 1414479 2486054 2657506 2828958 3729081 3986259 7458162 7972518 13673297 14616283 27346594 29232566 38533837 41019891 43848849 77067674 82039782 87697698 115601511 231203022 423872207 847744414 1271616621 2543233242