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3855085812 = 223479714929
BaseRepresentation
bin1110010111000111…
…1111000011110100
3100221200000122120000
43211301333003310
530343400221222
61434311511300
7164350455144
oct34561770364
910850018500
103855085812
1116a9106036
128b7088530
134958b3686
14287dd0924
1517869c9ac
hexe5c7f0f4

3855085812 has 60 divisors (see below), whose sum is σ = 10091276580. Its totient is φ = 1283330304.

The previous prime is 3855085789. The next prime is 3855085813. The reversal of 3855085812 is 2185805583.

3855085812 is a `hidden beast` number, since 3 + 8 + 550 + 85 + 8 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2663179236 + 1191906576 = 51606^2 + 34524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3855085813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 250764 + ... + 265692.

It is an arithmetic number, because the mean of its divisors is an integer number (168187943).

Almost surely, 23855085812 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 3855085812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045638290).

3855085812 is an abundant number, since it is smaller than the sum of its proper divisors (6236190768).

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

3855085812 is a wasteful number, since it uses less digits than its factorization.

3855085812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15742 (or 15731 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 3855085812 is about 62089.3373454734. The cubic root of 3855085812 is about 1567.9950351476.

The spelling of 3855085812 in words is "three billion, eight hundred fifty-five million, eighty-five thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 797 1594 2391 3188 4782 7173 9564 14346 14929 21519 28692 29858 43038 44787 59716 64557 86076 89574 129114 134361 179148 258228 268722 403083 537444 806166 1209249 1612332 2418498 4836996 11898413 23796826 35695239 47593652 71390478 107085717 142780956 214171434 321257151 428342868 642514302 963771453 1285028604 1927542906 3855085812