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813482296 = 231137433577
BaseRepresentation
bin110000011111001…
…100000100111000
32002200201011220221
4300133030010320
53131222413141
6212415425424
726105325334
oct6037140470
92080634827
10813482296
1138820a320
121a8525274
13cc6c3793
147a0787c4
154b63bbd1
hex307cc138

813482296 has 64 divisors (see below), whose sum is σ = 1715827680. Its totient is φ = 358318080.

The previous prime is 813482279. The next prime is 813482297. The reversal of 813482296 is 692284318.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813482297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1409560 + ... + 1410136.

Almost surely, 2813482296 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 813482296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857913840).

813482296 is an abundant number, since it is smaller than the sum of its proper divisors (902345384).

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

813482296 is a wasteful number, since it uses less digits than its factorization.

813482296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1060 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 813482296 is about 28521.6110344419. The cubic root of 813482296 is about 933.5036819452.

The spelling of 813482296 in words is "eight hundred thirteen million, four hundred eighty-two thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 433 577 814 866 1154 1628 1732 2308 3256 3464 4616 4763 6347 9526 12694 16021 19052 21349 25388 32042 38104 42698 50776 64084 85396 128168 170792 176231 234839 249841 352462 469678 499682 704924 939356 999364 1409848 1878712 1998728 2748251 5496502 9244117 10993004 18488234 21986008 36976468 73952936 101685287 203370574 406741148 813482296