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2813207296 = 2821152081
BaseRepresentation
bin1010011110101110…
…0010001100000000
321021001112201220211
42213223202030000
521230140113141
61143052443504
7126466603354
oct24753421400
97231481824
102813207296
111213a89309
12666179594
1335aaa2903
141c98a1464
15116e97d81
hexa7ae2300

2813207296 has 36 divisors (see below), whose sum is σ = 5642147224. Its totient is φ = 1399910400.

The previous prime is 2813207249. The next prime is 2813207297. The reversal of 2813207296 is 6927023182.

It is not an unprimeable number, because it can be changed into a prime (2813207297) 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 3 ways as a sum of consecutive naturals, for example, 27976 + ... + 80056.

Almost surely, 22813207296 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 2813207296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821073612).

2813207296 is an abundant number, since it is smaller than the sum of its proper divisors (2828939928).

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

2813207296 is an equidigital number, since it uses as much as digits as its factorization.

2813207296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52308 (or 52294 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 2813207296 is about 53039.6766204320. The cubic root of 2813207296 is about 1411.6723606961.

The spelling of 2813207296 in words is "two billion, eight hundred thirteen million, two hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 211 256 422 844 1688 3376 6752 13504 27008 52081 54016 104162 208324 416648 833296 1666592 3333184 6666368 10989091 13332736 21978182 43956364 87912728 175825456 351650912 703301824 1406603648 2813207296