Search a number
-
+
808496256 = 2734744797
BaseRepresentation
bin110000001100001…
…010110010000000
32002100022212100210
4300030022302000
53123433340011
6212120514120
726015050641
oct6014126200
92070285323
10808496256
11385414227
121a691b940
13cb669169
147953b6c8
154aea46a6
hex3030ac80

808496256 has 64 divisors (see below), whose sum is σ = 2193310080. Its totient is φ = 263758848.

The previous prime is 808496239. The next prime is 808496263. The reversal of 808496256 is 652694808.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4351 + ... + 40446.

It is an arithmetic number, because the mean of its divisors is an integer number (34270470).

Almost surely, 2808496256 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 808496256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096655040).

808496256 is an abundant number, since it is smaller than the sum of its proper divisors (1384813824).

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

808496256 is a wasteful number, since it uses less digits than its factorization.

808496256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44861 (or 44849 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 808496256 is about 28434.0685797865. The cubic root of 808496256 is about 931.5925447898.

The spelling of 808496256 in words is "eight hundred eight million, four hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 6016 9024 18048 44797 89594 134391 179188 268782 358376 537564 716752 1075128 1433504 2105459 2150256 2867008 4210918 4300512 5734016 6316377 8421836 8601024 12632754 16843672 17202048 25265508 33687344 50531016 67374688 101062032 134749376 202124064 269498752 404248128 808496256