Search a number
-
+
389089728 = 26323731811
BaseRepresentation
bin10111001100010…
…000100111000000
31000010010210202200
4113030100213000
51244101332403
6102335313200
712433131246
oct2714204700
91003123680
10389089728
1118a6a3965
12aa37b800
13627c1611
1439964796
152425aca3
hex173109c0

389089728 has 84 divisors (see below), whose sum is σ = 1118862888. Its totient is φ = 129277440.

The previous prime is 389089721. The next prime is 389089747. The reversal of 389089728 is 827980983.

It is a super-2 number, since 2×3890897282 = 302781632870227968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389089721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213943 + ... + 215753.

Almost surely, 2389089728 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 389089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559431444).

389089728 is an abundant number, since it is smaller than the sum of its proper divisors (729773160).

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

389089728 is a wasteful number, since it uses less digits than its factorization.

389089728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 389089728 is about 19725.3574872548. The cubic root of 389089728 is about 730.0454891276.

The spelling of 389089728 in words is "three hundred eighty-nine million, eighty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 373 576 746 1119 1492 1811 2238 2984 3357 3622 4476 5433 5968 6714 7244 8952 10866 11936 13428 14488 16299 17904 21732 23872 26856 28976 32598 35808 43464 53712 57952 65196 71616 86928 107424 115904 130392 173856 214848 260784 347712 521568 675503 1043136 1351006 2026509 2702012 4053018 5404024 6079527 8106036 10808048 12159054 16212072 21616096 24318108 32424144 43232192 48636216 64848288 97272432 129696576 194544864 389089728