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2393252820 = 2232574146327
BaseRepresentation
bin1000111010100110…
…0010001111010100
320011210022211200100
42032221202033110
514400133042240
61033251414100
7113210212320
oct21651421724
96153284610
102393252820
111018a242a2
125695b4330
132c1a9583a
14189bc4980
15e0191e30
hex8ea623d4

2393252820 has 144 divisors (see below), whose sum is σ = 8499149568. Its totient is φ = 533675520.

The previous prime is 2393252783. The next prime is 2393252857. The reversal of 2393252820 is 282523932.

2393252820 is a `hidden beast` number, since 23 + 93 + 2 + 528 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2393252783) and next prime (2393252857).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 28497 + ... + 74823.

It is an arithmetic number, because the mean of its divisors is an integer number (59021872).

Almost surely, 22393252820 is an apocalyptic number.

2393252820 is a gapful number since it is divisible by the number (20) 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 2393252820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249574784).

2393252820 is an abundant number, since it is smaller than the sum of its proper divisors (6105896748).

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

2393252820 is a wasteful number, since it uses less digits than its factorization.

2393252820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46390 (or 46385 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2393252820 is about 48920.8832708487. The cubic root of 2393252820 is about 1337.6100601777.

The spelling of 2393252820 in words is "two billion, three hundred ninety-three million, two hundred fifty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 82 84 90 105 123 126 140 164 180 205 210 246 252 287 315 369 410 420 492 574 615 630 738 820 861 1148 1230 1260 1435 1476 1722 1845 2460 2583 2870 3444 3690 4305 5166 5740 7380 8610 10332 12915 17220 25830 46327 51660 92654 138981 185308 231635 277962 324289 416943 463270 555924 648578 694905 833886 926540 972867 1297156 1389810 1621445 1667772 1899407 1945734 2084715 2779620 2918601 3242890 3798814 3891468 4169430 4864335 5698221 5837202 6485780 7597628 8338860 9497035 9728670 11396442 11674404 13295849 14593005 17094663 18994070 19457340 22792884 26591698 28491105 29186010 34189326 37988140 39887547 53183396 56982210 58372020 66479245 68378652 79775094 85473315 113964420 119662641 132958490 159550188 170946630 199437735 239325282 265916980 341893260 398875470 478650564 598313205 797750940 1196626410 2393252820