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855530984 = 2372112171061
BaseRepresentation
bin110010111111100…
…101110111101000
32012121211110212202
4302333211313220
53223003442414
6220520555332
730125615300
oct6277456750
92177743782
10855530984
113a9a1a100
121ba622b48
13108326969
14818a2600
15501959de
hex32fe5de8

855530984 has 144 divisors (see below), whose sum is σ = 2173775940. Its totient is φ = 313420800.

The previous prime is 855530971. The next prime is 855530987. The reversal of 855530984 is 489035558.

It can be written as a sum of positive squares in 2 ways, for example, as 811680100 + 43850884 = 28490^2 + 6622^2 .

It is not an unprimeable number, because it can be changed into a prime (855530987) 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 35 ways as a sum of consecutive naturals, for example, 805814 + ... + 806874.

Almost surely, 2855530984 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 855530984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086887970).

855530984 is an abundant number, since it is smaller than the sum of its proper divisors (1318244956).

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

855530984 is a wasteful number, since it uses less digits than its factorization.

855530984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 47.

The square root of 855530984 is about 29249.4612599959. The cubic root of 855530984 is about 949.3184341275.

The spelling of 855530984 in words is "eight hundred fifty-five million, five hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 49 56 68 77 88 98 119 121 136 154 187 196 238 242 308 374 392 476 484 539 616 748 833 847 952 968 1061 1078 1309 1496 1666 1694 2057 2122 2156 2618 3332 3388 4114 4244 4312 5236 5929 6664 6776 7427 8228 8488 9163 10472 11671 11858 14399 14854 16456 18037 18326 23342 23716 28798 29708 36074 36652 46684 47432 51989 57596 59416 72148 73304 81697 93368 100793 103978 115192 126259 128381 144296 163394 198407 201586 207956 252518 256762 326788 396814 403172 415912 505036 513524 571879 653576 793628 806344 883813 898667 1010072 1027048 1143758 1388849 1587256 1767626 1797334 2182477 2287516 2777698 3535252 3594668 4364954 4575032 5555396 6290669 7070504 7189336 8729908 9721943 11110792 12581338 15277339 17459816 19443886 25162676 30554678 38887772 50325352 61109356 77775544 106941373 122218712 213882746 427765492 855530984