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828146052 = 22337668019
BaseRepresentation
bin110001010111001…
…000000110000100
32010201022011211000
4301113020012010
53144001133202
6214102013300
726344060656
oct6127100604
92121264730
10828146052
11395515428
121b1417230
13102759066
147bdb46d6
154ca8691c
hex315c8184

828146052 has 24 divisors (see below), whose sum is σ = 2147045600. Its totient is φ = 276048648.

The previous prime is 828146047. The next prime is 828146071. The reversal of 828146052 is 250641828.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 828145998 and 828146016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3833902 + ... + 3834117.

Almost surely, 2828146052 is an apocalyptic number.

It is an amenable number.

828146052 is an abundant number, since it is smaller than the sum of its proper divisors (1318899548).

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

828146052 is a wasteful number, since it uses less digits than its factorization.

828146052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668032 (or 7668024 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 828146052 is about 28777.5268569069. The cubic root of 828146052 is about 939.0793959548.

The spelling of 828146052 in words is "eight hundred twenty-eight million, one hundred forty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 7668019 15336038 23004057 30672076 46008114 69012171 92016228 138024342 207036513 276048684 414073026 828146052