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4893505092 = 22327433071471
BaseRepresentation
bin1001000111010110…
…01111011001000100
3110122000222211000100
410203223033121010
540010214130332
62125324444100
7232160051460
oct44353173104
913560884010
104893505092
11209128a893
12b469a9630
135cca82a58
14345c9d4a0
151d991c67c
hex123acf644

4893505092 has 144 divisors (see below), whose sum is σ = 14522540032. Its totient is φ = 1360255680.

The previous prime is 4893505069. The next prime is 4893505109. The reversal of 4893505092 is 2905053984.

4893505092 is a `hidden beast` number, since 4 + 8 + 93 + 50 + 509 + 2 = 666.

It is a super-3 number, since 3×48935050923 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3325917 + ... + 3327387.

Almost surely, 24893505092 is an apocalyptic number.

4893505092 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4893505092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261270016).

4893505092 is an abundant number, since it is smaller than the sum of its proper divisors (9629034940).

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

4893505092 is a wasteful number, since it uses less digits than its factorization.

4893505092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 4893505092 is about 69953.5924166872. The cubic root of 4893505092 is about 1697.7484716929.

The spelling of 4893505092 in words is "four billion, eight hundred ninety-three million, five hundred five thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 307 387 516 602 614 774 903 921 1204 1228 1471 1548 1806 1842 2149 2709 2763 2942 3612 3684 4298 4413 5418 5526 5884 6447 8596 8826 10297 10836 11052 12894 13201 13239 17652 19341 20594 25788 26402 26478 30891 38682 39603 41188 52804 52956 61782 63253 77364 79206 92407 92673 118809 123564 126506 158412 184814 185346 189759 237618 253012 277221 369628 370692 379518 442771 451597 475236 554442 569277 759036 831663 885542 903194 1108884 1138554 1328313 1354791 1663326 1771084 1806388 2277108 2656626 2709582 3161179 3326652 3984939 4064373 5313252 5419164 6322358 7969878 8128746 9483537 12644716 15939756 16257492 18967074 19418671 28450611 37934148 38837342 56901222 58256013 77674684 113802444 116512026 135930697 174768039 233024052 271861394 349536078 407792091 543722788 699072156 815584182 1223376273 1631168364 2446752546 4893505092