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2543385306 = 2371153241431
BaseRepresentation
bin1001011110011000…
…1111101011011010
320120020211100201210
42113212033223122
520202101312211
61100213323550
7120012263340
oct22746175332
96506740653
102543385306
111095747030
125ab9365b6
13316c0cb27
141a1b05990
15ed44a9a6
hex9798fada

2543385306 has 128 divisors (see below), whose sum is σ = 6503473152. Its totient is φ = 643968000.

The previous prime is 2543385293. The next prime is 2543385311. The reversal of 2543385306 is 6035833452.

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 63 ways as a sum of consecutive naturals, for example, 5900911 + ... + 5901341.

It is an arithmetic number, because the mean of its divisors is an integer number (50808384).

Almost surely, 22543385306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2543385306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251736576).

2543385306 is an abundant number, since it is smaller than the sum of its proper divisors (3960087846).

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

2543385306 is a wasteful number, since it uses less digits than its factorization.

2543385306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748.

The product of its (nonzero) digits is 259200, while the sum is 39.

The square root of 2543385306 is about 50431.9869328981. The cubic root of 2543385306 is about 1365.0148810250.

The spelling of 2543385306 in words is "two billion, five hundred forty-three million, three hundred eighty-five thousand, three hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 53 66 77 106 154 159 231 241 318 371 431 462 482 583 723 742 862 1113 1166 1293 1446 1687 1749 2226 2586 2651 3017 3374 3498 4081 4741 5061 5302 6034 7953 8162 9051 9482 10122 12243 12773 14223 15906 18102 18557 22843 24486 25546 28446 33187 37114 38319 45686 55671 66374 68529 76638 89411 99561 103871 111342 137058 140503 159901 178822 199122 207742 251273 268233 281006 311613 319802 421509 479703 502546 536466 623226 727097 753819 843018 959406 983521 1142581 1454194 1507638 1758911 1967042 2181291 2285162 2950563 3427743 3517822 4362582 5276733 5505163 5901126 6855486 7998067 10553466 11010326 15996134 16515489 23994201 33030978 38536141 47988402 60556793 77072282 115608423 121113586 181670379 231216846 363340758 423897551 847795102 1271692653 2543385306