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828648084 = 2231110957593
BaseRepresentation
bin110001011001000…
…010101010010100
32010202020200110210
4301121002222110
53144113214314
6214120445420
726351251425
oct6131025224
92122220423
10828648084
11395828630
121b1619870
131028a3714
147c0a564c
154cb35559
hex31642a94

828648084 has 48 divisors (see below), whose sum is σ = 2128674240. Its totient is φ = 248797440.

The previous prime is 828648053. The next prime is 828648151. The reversal of 828648084 is 480846828.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14409 + ... + 43184.

It is an arithmetic number, because the mean of its divisors is an integer number (44347380).

Almost surely, 2828648084 is an apocalyptic number.

It is an amenable number.

828648084 is an abundant number, since it is smaller than the sum of its proper divisors (1300026156).

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

828648084 is a wasteful number, since it uses less digits than its factorization.

828648084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57720 (or 57718 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The square root of 828648084 is about 28786.2481751270. The cubic root of 828648084 is about 939.2691179941.

The spelling of 828648084 in words is "eight hundred twenty-eight million, six hundred forty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 1199 1308 2398 3597 4796 7194 14388 57593 115186 172779 230372 345558 633523 691116 1267046 1900569 2534092 3801138 6277637 7602276 12555274 18832911 25110548 37665822 69054007 75331644 138108014 207162021 276216028 414324042 828648084