Search a number
-
+
189423648 = 25328112
BaseRepresentation
bin10110100101001…
…10000000100000
3111012102201101200
423102212000200
5341443024043
630444001200
74460034351
oct1322460040
9435381350
10189423648
1197a19877
1253530200
13303232cb
141b22bd28
151196a7d3
hexb4a6020

189423648 has 54 divisors (see below), whose sum is σ = 539338527. Its totient is φ = 63063360.

The previous prime is 189423631. The next prime is 189423659. The reversal of 189423648 is 846324981.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

189423648 is a `hidden beast` number, since 189 + 423 + 6 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94711824 + 94711824 = 9732^2 + 9732^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=9732.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 233163 + ... + 233973.

Almost surely, 2189423648 is an apocalyptic number.

189423648 is a gapful number since it is divisible by the number (18) 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 189423648

189423648 is an abundant number, since it is smaller than the sum of its proper divisors (349914879).

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

189423648 is an frugal number, since it uses more digits than its factorization.

189423648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 816 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 189423648 is about 13763.1263890150. The cubic root of 189423648 is about 574.3078229297.

The spelling of 189423648 in words is "one hundred eighty-nine million, four hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 811 1622 2433 3244 4866 6488 7299 9732 12976 14598 19464 25952 29196 38928 58392 77856 116784 233568 657721 1315442 1973163 2630884 3946326 5261768 5919489 7892652 10523536 11838978 15785304 21047072 23677956 31570608 47355912 63141216 94711824 189423648