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864552840 = 2335431311279
BaseRepresentation
bin110011100010000…
…000011110001000
32020020210211112120
4303202000132020
53232311142330
6221442211240
730265402134
oct6342003610
92206724476
10864552840
11404021388
12201653b20
1310a165238
1482b703c4
1550d78c10
hex33880788

864552840 has 128 divisors (see below), whose sum is σ = 2676326400. Its totient is φ = 223292160.

The previous prime is 864552823. The next prime is 864552847. The reversal of 864552840 is 48255468.

It is a super-2 number, since 2×8645528402 = 1494903226304131200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 864552792 and 864552801.

It is not an unprimeable number, because it can be changed into a prime (864552847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675321 + ... + 676599.

It is an arithmetic number, because the mean of its divisors is an integer number (20908800).

Almost surely, 2864552840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864552840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338163200).

864552840 is an abundant number, since it is smaller than the sum of its proper divisors (1811773560).

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

864552840 is a wasteful number, since it uses less digits than its factorization.

864552840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 864552840 is about 29403.2794089367. The cubic root of 864552840 is about 952.6437311087.

The spelling of 864552840 in words is "eight hundred sixty-four million, five hundred fifty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 131 172 215 258 262 344 393 430 516 524 645 655 786 860 1032 1048 1279 1290 1310 1572 1720 1965 2558 2580 2620 3144 3837 3930 5116 5160 5240 5633 6395 7674 7860 10232 11266 12790 15348 15720 16899 19185 22532 25580 28165 30696 33798 38370 45064 51160 54997 56330 67596 76740 84495 109994 112660 135192 153480 164991 167549 168990 219988 225320 274985 329982 335098 337980 439976 502647 549970 659964 670196 675960 824955 837745 1005294 1099940 1319928 1340392 1649910 1675490 2010588 2199880 2513235 3299820 3350980 4021176 5026470 6599640 6701960 7204607 10052940 14409214 20105880 21613821 28818428 36023035 43227642 57636856 72046070 86455284 108069105 144092140 172910568 216138210 288184280 432276420 864552840