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855508050 = 232524189521
BaseRepresentation
bin110010111111100…
…000010001010010
32012121210022102100
4302333200101102
53223002224200
6220520301230
730125461365
oct6277402122
92177708370
10855508050
113a9a03951
121ba611816
131083193a7
14818980dc
155018dd00
hex32fe0452

855508050 has 144 divisors (see below), whose sum is σ = 2385550440. Its totient is φ = 219648000.

The previous prime is 855508021. The next prime is 855508063. The reversal of 855508050 is 50805558.

It can be written as a sum of positive squares in 12 ways, for example, as 78269409 + 777238641 = 8847^2 + 27879^2 .

It is a super-2 number, since 2×8555080502 = 1463788047229605000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 855507996 and 855508014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1641790 + ... + 1642310.

Almost surely, 2855508050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855508050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192775220).

855508050 is an abundant number, since it is smaller than the sum of its proper divisors (1530042390).

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

855508050 is a wasteful number, since it uses less digits than its factorization.

855508050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The square root of 855508050 is about 29249.0692159597. The cubic root of 855508050 is about 949.3099513397.

The spelling of 855508050 in words is "eight hundred fifty-five million, five hundred eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 89 90 123 150 178 205 225 246 267 369 410 445 450 521 534 615 738 801 890 1025 1042 1230 1335 1563 1602 1845 2050 2225 2605 2670 3075 3126 3649 3690 4005 4450 4689 5210 6150 6675 7298 7815 8010 9225 9378 10947 13025 13350 15630 18245 18450 20025 21361 21894 23445 26050 32841 36490 39075 40050 42722 46369 46890 54735 64083 65682 78150 91225 92738 106805 109470 117225 128166 139107 164205 182450 192249 213610 231845 234450 273675 278214 320415 328410 384498 417321 463690 534025 547350 640830 695535 821025 834642 961245 1068050 1159225 1391070 1602075 1642050 1901129 1922490 2086605 2318450 3204150 3477675 3802258 4173210 4806225 5703387 6955350 9505645 9612450 10433025 11406774 17110161 19011290 20866050 28516935 34220322 47528225 57033870 85550805 95056450 142584675 171101610 285169350 427754025 855508050