Search a number
-
+
2830188438 = 23571175629
BaseRepresentation
bin1010100010110001…
…0011111110010110
321022020111110200000
42220230103332112
521244012012223
61144500432130
7130064130150
oct25054237626
97266443600
102830188438
111222627510
1266b9a8646
13361469c1c
141cbc41ad0
151186ee543
hexa8b13f96

2830188438 has 96 divisors (see below), whose sum is σ = 7928444160. Its totient is φ = 735104160.

The previous prime is 2830188437. The next prime is 2830188451. The reversal of 2830188438 is 8348810382.

2830188438 is a `hidden beast` number, since 2 + 8 + 30 + 188 + 438 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2830188393 and 2830188402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830188437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393 + ... + 75236.

It is an arithmetic number, because the mean of its divisors is an integer number (82587960).

Almost surely, 22830188438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830188438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964222080).

2830188438 is an abundant number, since it is smaller than the sum of its proper divisors (5098255722).

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

2830188438 is a wasteful number, since it uses less digits than its factorization.

2830188438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75664 (or 75652 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2830188438 is about 53199.5153925297. The cubic root of 2830188438 is about 1414.5070536697.

The spelling of 2830188438 in words is "two billion, eight hundred thirty million, one hundred eighty-eight thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 891 1134 1386 1701 1782 2079 2673 3402 4158 5346 6237 12474 18711 37422 75629 151258 226887 453774 529403 680661 831919 1058806 1361322 1588209 1663838 2041983 2495757 3176418 4083966 4764627 4991514 5823433 6125949 7487271 9529254 11646866 12251898 14293881 14974542 17470299 18377847 22461813 28587762 34940598 36755694 42881643 44923626 52410897 67385439 85763286 104821794 128644929 134770878 157232691 202156317 257289858 314465382 404312634 471698073 943396146 1415094219 2830188438