Search a number
-
+
285660648 = 233371314533
BaseRepresentation
bin10001000001101…
…101010111101000
3201220112001202000
4101001231113220
51041112120043
644202411000
710036034610
oct2101552750
9656461660
10285660648
11137280089
127b800a60
134724a090
1429d1da40
151a12a2d3
hex1106d5e8

285660648 has 128 divisors (see below), whose sum is σ = 976684800. Its totient is φ = 75333888.

The previous prime is 285660647. The next prime is 285660671. The reversal of 285660648 is 846066582.

285660648 is a `hidden beast` number, since 28 + 566 + 0 + 64 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (285660647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12390 + ... + 26922.

It is an arithmetic number, because the mean of its divisors is an integer number (7630350).

Almost surely, 2285660648 is an apocalyptic number.

285660648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285660648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488342400).

285660648 is an abundant number, since it is smaller than the sum of its proper divisors (691024152).

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

285660648 is a wasteful number, since it uses less digits than its factorization.

285660648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14568 (or 14558 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 285660648 is about 16901.4983951128. The cubic root of 285660648 is about 658.5925378848.

It can be divided in two parts, 2856 and 60648, that added together give a square (63504 = 2522).

The spelling of 285660648 in words is "two hundred eighty-five million, six hundred sixty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 14533 19656 29066 43599 58132 87198 101731 116264 130797 174396 188929 203462 261594 305193 348792 377858 392391 406924 523188 566787 610386 755716 784782 813848 915579 1046376 1133574 1220772 1322503 1511432 1569564 1700361 1831158 2267148 2441544 2645006 2746737 3139128 3400722 3662316 3967509 4534296 5101083 5290012 5493474 6801444 7324632 7935018 10202166 10580024 10986948 11902527 13602888 15870036 20404332 21973896 23805054 31740072 35707581 40808664 47610108 71415162 95220216 142830324 285660648