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805807072 = 25717613469
BaseRepresentation
bin110000000001111…
…010001111100000
32002011021020111101
4300001322033200
53122241311242
6211543124144
725653150520
oct6001721740
92064236441
10805807072
11383947864
121a5a43654
13cac37125
147903b680
154ab229b7
hex3007a3e0

805807072 has 96 divisors (see below), whose sum is σ = 1951750080. Its totient is φ = 319610880.

The previous prime is 805807063. The next prime is 805807111. The reversal of 805807072 is 270708508.

It is a congruent number.

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, 230554 + ... + 234022.

It is an arithmetic number, because the mean of its divisors is an integer number (20330730).

Almost surely, 2805807072 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 805807072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975875040).

805807072 is an abundant number, since it is smaller than the sum of its proper divisors (1145943008).

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

805807072 is a wasteful number, since it uses less digits than its factorization.

805807072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The square root of 805807072 is about 28386.7411303235. The cubic root of 805807072 is about 930.5585237171.

The spelling of 805807072 in words is "eight hundred five million, eight hundred seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 61 68 112 119 122 136 224 238 244 272 427 476 488 544 854 952 976 1037 1708 1904 1952 2074 3416 3469 3808 4148 6832 6938 7259 8296 13664 13876 14518 16592 24283 27752 29036 33184 48566 55504 58072 58973 97132 111008 116144 117946 194264 211609 232288 235892 388528 412811 423218 471784 777056 825622 846436 943568 1481263 1651244 1692872 1887136 2962526 3302488 3385744 3597353 5925052 6604976 6771488 7194706 11850104 13209952 14389412 23700208 25181471 28778824 47400416 50362942 57557648 100725884 115115296 201451768 402903536 805807072