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828800296 = 23372800001
BaseRepresentation
bin110001011001100…
…111110100101000
32010202112102021021
4301121213310220
53144133102141
6214124022224
726352454252
oct6131476450
92122472237
10828800296
11395921a25
121b1691974
13102927a9c
147c104cd2
154cb656d1
hex31667d28

828800296 has 16 divisors (see below), whose sum is σ = 1596001140. Its totient is φ = 403200000.

The previous prime is 828800293. The next prime is 828800299. The reversal of 828800296 is 692008828.

828800296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (828800293) and next prime (828800299).

It can be written as a sum of positive squares in 2 ways, for example, as 763416900 + 65383396 = 27630^2 + 8086^2 .

It is not an unprimeable number, because it can be changed into a prime (828800293) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1399705 + ... + 1400296.

Almost surely, 2828800296 is an apocalyptic number.

It is an amenable number.

828800296 is a deficient number, since it is larger than the sum of its proper divisors (767200844).

828800296 is a wasteful number, since it uses less digits than its factorization.

828800296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800044 (or 2800040 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 828800296 is about 28788.8918855867. The cubic root of 828800296 is about 939.3266250271.

The spelling of 828800296 in words is "eight hundred twenty-eight million, eight hundred thousand, two hundred ninety-six".

Divisors: 1 2 4 8 37 74 148 296 2800001 5600002 11200004 22400008 103600037 207200074 414400148 828800296