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1685857284 = 223253979109
BaseRepresentation
bin110010001111100…
…0010010000000100
311100111020102102200
41210133002100010
511423034413114
6435141434500
756530356546
oct14437022004
94314212380
101685857284
11795693591
123b070ba30
1320b3671b7
1411dc83696
159d00d409
hex647c2404

1685857284 has 72 divisors (see below), whose sum is σ = 4387120920. Its totient is φ = 545605632.

The previous prime is 1685857279. The next prime is 1685857291. The reversal of 1685857284 is 4827585861.

1685857284 is a `hidden beast` number, since 1 + 68 + 5 + 8 + 572 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111513600 + 1574343684 = 10560^2 + 39678^2 .

It is a super-2 number, since 2×16858572842 = 5684229564031713312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1685857284.

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 23 ways as a sum of consecutive naturals, for example, 180522 + ... + 189630.

It is an arithmetic number, because the mean of its divisors is an integer number (60932235).

Almost surely, 21685857284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1685857284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193560460).

1685857284 is an abundant number, since it is smaller than the sum of its proper divisors (2701263636).

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

1685857284 is a wasteful number, since it uses less digits than its factorization.

1685857284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9269 (or 9264 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 54.

The square root of 1685857284 is about 41059.1924421316. The cubic root of 1685857284 is about 1190.1643451668.

The spelling of 1685857284 in words is "one billion, six hundred eighty-five million, eight hundred fifty-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 97 106 159 194 212 291 318 388 477 582 636 873 954 1164 1746 1908 3492 5141 9109 10282 15423 18218 20564 27327 30846 36436 46269 54654 61692 81981 92538 109308 163962 185076 327924 482777 883573 965554 1448331 1767146 1931108 2650719 2896662 3534292 4344993 5301438 5793324 7952157 8689986 10602876 15904314 17379972 31808628 46829369 93658738 140488107 187317476 280976214 421464321 561952428 842928642 1685857284