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800921640 = 233523290189
BaseRepresentation
bin101111101111010…
…001100000101000
32001211002000221110
4233233101200220
53120013443030
6211250310320
725563502341
oct5757214050
92054060843
10800921640
11381110312
121a42883a0
13c9c1653c
14785290c8
154a4aa1b0
hex2fbd1828

800921640 has 64 divisors (see below), whose sum is σ = 2507241600. Its totient is φ = 204292352.

The previous prime is 800921621. The next prime is 800921651. The reversal of 800921640 is 46129008.

800921640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 800921598 and 800921607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142335 + ... + 147854.

It is an arithmetic number, because the mean of its divisors is an integer number (39175650).

Almost surely, 2800921640 is an apocalyptic number.

It is an amenable number.

800921640 is an abundant number, since it is smaller than the sum of its proper divisors (1706319960).

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

800921640 is a wasteful number, since it uses less digits than its factorization.

800921640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290226 (or 290222 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 800921640 is about 28300.5590050797. The cubic root of 800921640 is about 928.6741194066.

The spelling of 800921640 in words is "eight hundred million, nine hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 290189 580378 870567 1160756 1450945 1741134 2321512 2901890 3482268 4352835 5803780 6674347 6964536 8705670 11607560 13348694 17411340 20023041 26697388 33371735 34822680 40046082 53394776 66743470 80092164 100115205 133486940 160184328 200230410 266973880 400460820 800921640