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189000441 = 327171091619
BaseRepresentation
bin10110100001111…
…10101011111001
3111011122012212100
423100332223321
5341341003231
630430534013
74453322460
oct1320765371
9434565770
10189000441
119775a913
1253367309
13302057a6
141b15b9d7
15118d51e6
hexb43eaf9

189000441 has 48 divisors (see below), whose sum is σ = 333590400. Its totient is φ = 100652544.

The previous prime is 189000439. The next prime is 189000457. The reversal of 189000441 is 144000981.

It is not a de Polignac number, because 189000441 - 21 = 189000439 is a prime.

189000441 is a modest number, since divided by 441 gives 189 as remainder.

It is not an unprimeable number, because it can be changed into a prime (189000401) 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, 115930 + ... + 117548.

It is an arithmetic number, because the mean of its divisors is an integer number (6949800).

Almost surely, 2189000441 is an apocalyptic number.

It is an amenable number.

189000441 is a deficient number, since it is larger than the sum of its proper divisors (144589959).

189000441 is a wasteful number, since it uses less digits than its factorization.

189000441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 189000441 is about 13747.7431238731. The cubic root of 189000441 is about 573.8798011820.

The spelling of 189000441 in words is "one hundred eighty-nine million, four hundred forty-one", and thus it is an aban number.

Divisors: 1 3 7 9 17 21 51 63 109 119 153 327 357 763 981 1071 1619 1853 2289 4857 5559 6867 11333 12971 14571 16677 27523 33999 38913 82569 101997 116739 176471 192661 247707 529413 577983 1235297 1588239 1733949 3000007 3705891 9000021 11117673 21000049 27000063 63000147 189000441