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828385614 = 232738916901
BaseRepresentation
bin110001011000000…
…010100101001110
32010201202100102200
4301120002211032
53144031314424
6214111102330
726346106260
oct6130024516
92121670380
10828385614
11395669411
121b15119a6
13102811104
147c037b30
154cad28c9
hex3160294e

828385614 has 48 divisors (see below), whose sum is σ = 2056635360. Its totient is φ = 236059200.

The previous prime is 828385603. The next prime is 828385633. The reversal of 828385614 is 416583828.

828385614 is a `hidden beast` number, since 8 + 2 + 83 + 8 + 561 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 828385614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40564 + ... + 57464.

It is an arithmetic number, because the mean of its divisors is an integer number (42846570).

Almost surely, 2828385614 is an apocalyptic number.

828385614 is an abundant number, since it is smaller than the sum of its proper divisors (1228249746).

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

828385614 is a wasteful number, since it uses less digits than its factorization.

828385614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17305 (or 17302 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 828385614 is about 28781.6888663608. The cubic root of 828385614 is about 939.1699379748.

The spelling of 828385614 in words is "eight hundred twenty-eight million, three hundred eighty-five thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 389 778 1167 2334 2723 3501 5446 7002 8169 16338 16901 24507 33802 49014 50703 101406 118307 152109 236614 304218 354921 709842 1064763 2129526 6574489 13148978 19723467 39446934 46021423 59170401 92042846 118340802 138064269 276128538 414192807 828385614