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853442874 = 2321719181811
BaseRepresentation
bin110010110111101…
…000000100111010
32012110220101112100
4302313220010322
53221440132444
6220404124230
730102100434
oct6267500472
92173811470
10853442874
113a8823299
121b9996676
13107a753ab
14814bb654
154edd1e69
hex32de813a

853442874 has 96 divisors (see below), whose sum is σ = 2074887360. Its totient is φ = 251942400.

The previous prime is 853442869. The next prime is 853442911. The reversal of 853442874 is 478244358.

It is a happy number.

853442874 is a `hidden beast` number, since 8 + 534 + 42 + 8 + 74 = 666.

853442874 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1051929 + ... + 1052739.

It is an arithmetic number, because the mean of its divisors is an integer number (21613410).

Almost surely, 2853442874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853442874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037443680).

853442874 is an abundant number, since it is smaller than the sum of its proper divisors (1221444486).

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

853442874 is a wasteful number, since it uses less digits than its factorization.

853442874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1033 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 853442874 is about 29213.7446076329. The cubic root of 853442874 is about 948.5454653425.

The spelling of 853442874 in words is "eight hundred fifty-three million, four hundred forty-two thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 181 306 323 342 362 543 646 811 969 1086 1622 1629 1938 2433 2907 3077 3258 3439 4866 5814 6154 6878 7299 9231 10317 13787 14598 15409 18462 20634 27574 27693 30818 30951 41361 46227 55386 58463 61902 82722 92454 116926 124083 138681 146791 175389 248166 261953 277362 293582 350778 440373 523906 526167 785859 880746 1052334 1321119 1571718 2357577 2495447 2642238 2789029 4715154 4990894 5578058 7486341 8367087 14972682 16734174 22459023 25101261 44918046 47413493 50202522 94826986 142240479 284480958 426721437 853442874