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805420896 = 25373973019
BaseRepresentation
bin110000000000011…
…011111101100000
32002010112121202120
4300000123331200
53122141432041
6211530544240
725646651610
oct6000337540
92063477676
10805420896
11383703705
121a5898080
13cab30417
1478d7aa40
154aa98366
hex3001bf60

805420896 has 96 divisors (see below), whose sum is σ = 2423151360. Its totient is φ = 229464576.

The previous prime is 805420871. The next prime is 805420927. The reversal of 805420896 is 698024508.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 265275 + ... + 268293.

It is an arithmetic number, because the mean of its divisors is an integer number (25241160).

Almost surely, 2805420896 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 805420896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211575680).

805420896 is an abundant number, since it is smaller than the sum of its proper divisors (1617730464).

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

805420896 is a wasteful number, since it uses less digits than its factorization.

805420896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 805420896 is about 28379.9382663176. The cubic root of 805420896 is about 930.4098459493.

The spelling of 805420896 in words is "eight hundred five million, four hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 397 672 794 1191 1588 2382 2779 3019 3176 4764 5558 6038 6352 8337 9057 9528 11116 12076 12704 16674 18114 19056 21133 22232 24152 33348 36228 38112 42266 44464 48304 63399 66696 72456 84532 88928 96608 126798 133392 144912 169064 253596 266784 289824 338128 507192 676256 1014384 1198543 2028768 2397086 3595629 4794172 7191258 8389801 9588344 14382516 16779602 19176688 25169403 28765032 33559204 38353376 50338806 57530064 67118408 100677612 115060128 134236816 201355224 268473632 402710448 805420896