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805526240 = 25523713083
BaseRepresentation
bin110000000000110…
…101101011100000
32002010201222021012
4300000311223200
53122203314430
6211533120052
725650601001
oct6000655340
92063658235
10805526240
11383775872
121a5929028
13cab6935c
1478da71a8
154aab9695
hex30035ae0

805526240 has 96 divisors (see below), whose sum is σ = 2014419456. Its totient is φ = 303761920.

The previous prime is 805526213. The next prime is 805526251. The reversal of 805526240 is 42625508.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 805526197 and 805526206.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 259739 + ... + 262821.

It is an arithmetic number, because the mean of its divisors is an integer number (20983536).

Almost surely, 2805526240 is an apocalyptic number.

805526240 is a gapful number since it is divisible by the number (80) 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 805526240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007209728).

805526240 is an abundant number, since it is smaller than the sum of its proper divisors (1208893216).

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

805526240 is a wasteful number, since it uses less digits than its factorization.

805526240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 805526240 is about 28381.7941645697. The cubic root of 805526240 is about 930.4504081044.

The spelling of 805526240 in words is "eight hundred five million, five hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 71 80 92 115 142 160 184 230 284 355 368 460 568 710 736 920 1136 1420 1633 1840 2272 2840 3083 3266 3680 5680 6166 6532 8165 11360 12332 13064 15415 16330 24664 26128 30830 32660 49328 52256 61660 65320 70909 98656 123320 130640 141818 218893 246640 261280 283636 354545 437786 493280 567272 709090 875572 1094465 1134544 1418180 1751144 2188930 2269088 2836360 3502288 4377860 5034539 5672720 7004576 8755720 10069078 11345440 17511440 20138156 25172695 35022880 40276312 50345390 80552624 100690780 161105248 201381560 402763120 805526240