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828028852 = 22724224637
BaseRepresentation
bin110001010110101…
…011011110110100
32010201002020001021
4301112223132310
53143433410402
6214055310524
726343062200
oct6126533664
92121066037
10828028852
11395445372
121b137b444
13102717901
147bd83b00
154ca61d37
hex315ab7b4

828028852 has 18 divisors (see below), whose sum is σ = 1685630562. Its totient is φ = 354869424.

The previous prime is 828028849. The next prime is 828028867. The reversal of 828028852 is 258820828.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 621704356 + 206324496 = 24934^2 + 14364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 828028799 and 828028808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2112123 + ... + 2112514.

Almost surely, 2828028852 is an apocalyptic number.

It is an amenable number.

828028852 is an abundant number, since it is smaller than the sum of its proper divisors (857601710).

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

828028852 is a wasteful number, since it uses less digits than its factorization.

828028852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224655 (or 4224646 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 43.

The square root of 828028852 is about 28775.4904736653. The cubic root of 828028852 is about 939.0350940681.

The spelling of 828028852 in words is "eight hundred twenty-eight million, twenty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 98 196 4224637 8449274 16898548 29572459 59144918 118289836 207007213 414014426 828028852