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805649856 = 2631117191181
BaseRepresentation
bin110000000001010…
…011110111000000
32002010222020211120
4300001103313000
53122221243411
6211535512240
725651624254
oct6001236700
92063866746
10805649856
1138384a730
121a5988680
13cabb06bb
1478dda264
154aae1106
hex30053dc0

805649856 has 224 divisors, whose sum is σ = 2593969920. Its totient is φ = 217497600.

The previous prime is 805649843. The next prime is 805649857. The reversal of 805649856 is 658946508.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 805649799 and 805649808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805649857) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 681586 + ... + 682766.

Almost surely, 2805649856 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 805649856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296984960).

805649856 is an abundant number, since it is smaller than the sum of its proper divisors (1788320064).

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

805649856 is a wasteful number, since it uses less digits than its factorization.

805649856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The square root of 805649856 is about 28383.9718150931. The cubic root of 805649856 is about 930.4980012879.

The spelling of 805649856 in words is "eight hundred five million, six hundred forty-nine thousand, eight hundred fifty-six".