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805260096 = 2633641727
BaseRepresentation
bin101111111111110…
…100101101000000
32002010020110012000
4233333310231000
53122121310341
6211523304000
725645412034
oct5777645500
92063213160
10805260096
11383603913
121a581b000
13caaa5184
1478d381c4
154aa658b6
hex2fff4b40

805260096 has 112 divisors (see below), whose sum is σ = 2374270080. Its totient is φ = 267632640.

The previous prime is 805260091. The next prime is 805260103. The reversal of 805260096 is 690062508.

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

It is a self number, because there is not a number n which added to its sum of digits gives 805260096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805260091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107285 + ... + 1108011.

It is an arithmetic number, because the mean of its divisors is an integer number (21198840).

Almost surely, 2805260096 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 805260096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187135040).

805260096 is an abundant number, since it is smaller than the sum of its proper divisors (1569009984).

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

805260096 is a wasteful number, since it uses less digits than its factorization.

805260096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 805260096 is about 28377.1051377691. The cubic root of 805260096 is about 930.3479239316.

The spelling of 805260096 in words is "eight hundred five million, two hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 641 727 864 1282 1454 1728 1923 2181 2564 2908 3846 4362 5128 5769 5816 6543 7692 8724 10256 11538 11632 13086 15384 17307 17448 19629 20512 23076 23264 26172 30768 34614 34896 39258 41024 46152 46528 52344 61536 69228 69792 78516 92304 104688 123072 138456 139584 157032 184608 209376 276912 314064 369216 418752 466007 553824 628128 932014 1107648 1256256 1398021 1864028 2796042 3728056 4194063 5592084 7456112 8388126 11184168 12582189 14912224 16776252 22368336 25164378 29824448 33552504 44736672 50328756 67105008 89473344 100657512 134210016 201315024 268420032 402630048 805260096