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57853422 = 232113753149
BaseRepresentation
bin1101110010110…
…0010111101110
311000212020222100
43130230113232
5104302302142
65423555530
71301513604
oct334542756
9130766870
1057853422
112a725150
121745bba6
13bca7bc3
14797d874
15512bb4c
hex372c5ee

57853422 has 96 divisors (see below), whose sum is σ = 144050400. Its totient is φ = 16623360.

The previous prime is 57853421. The next prime is 57853429. The reversal of 57853422 is 22435875.

It is a super-2 number, since 2×578534222 = 6694036874220168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57853421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388204 + ... + 388352.

It is an arithmetic number, because the mean of its divisors is an integer number (1500525).

Almost surely, 257853422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57853422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72025200).

57853422 is an abundant number, since it is smaller than the sum of its proper divisors (86196978).

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

57853422 is a wasteful number, since it uses less digits than its factorization.

57853422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 255 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 57853422 is about 7606.1437009828. The cubic root of 57853422 is about 386.7613054449.

The spelling of 57853422 in words is "fifty-seven million, eight hundred fifty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 53 66 74 99 106 111 149 159 198 222 298 318 333 407 447 477 583 666 814 894 954 1166 1221 1341 1639 1749 1961 2442 2682 3278 3498 3663 3922 4917 5247 5513 5883 7326 7897 9834 10494 11026 11766 14751 15794 16539 17649 21571 23691 29502 33078 35298 43142 47382 49617 60643 64713 71073 86867 99234 121286 129426 142146 173734 181929 194139 260601 292189 363858 388278 521202 545787 584378 781803 876567 1091574 1563606 1753134 2629701 3214079 5259402 6428158 9642237 19284474 28926711 57853422