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828700397 = 721972932
BaseRepresentation
bin110001011001001…
…111011011101101
32010202100100020022
4301121033123231
53144121403042
6214121531525
726351560100
oct6131173355
92122310208
10828700397
11395863968
121b1643ba5
131028c1485
147c0ba737
154cb45cd2
hex3164f6ed

828700397 has 18 divisors (see below), whose sum is σ = 972209898. Its totient is φ = 704296992.

The previous prime is 828700363. The next prime is 828700399. The reversal of 828700397 is 793007828.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 753722116 + 74978281 = 27454^2 + 8659^2 .

It is not a de Polignac number, because 828700397 - 210 = 828699373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828700399) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2828183 + ... + 2828475.

It is an arithmetic number, because the mean of its divisors is an integer number (54011661).

Almost surely, 2828700397 is an apocalyptic number.

It is an amenable number.

828700397 is a deficient number, since it is larger than the sum of its proper divisors (143509501).

828700397 is an equidigital number, since it uses as much as digits as its factorization.

828700397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 828700397 is about 28787.1568064649. The cubic root of 828700397 is about 939.2888831000.

The spelling of 828700397 in words is "eight hundred twenty-eight million, seven hundred thousand, three hundred ninety-seven".

Divisors: 1 7 49 197 293 1379 2051 9653 14357 57721 85849 404047 600943 2828329 4206601 16912253 118385771 828700397