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189444384 = 2532657793
BaseRepresentation
bin10110100101010…
…11000100100000
3111012110202211200
423102223010200
5341444210014
630444241200
74460151663
oct1322530440
9435422750
10189444384
1197a33408
1253540200
133032c88c
141b2356da
1511971a09
hexb4ab120

189444384 has 36 divisors (see below), whose sum is σ = 538733286. Its totient is φ = 63148032.

The previous prime is 189444377. The next prime is 189444389. The reversal of 189444384 is 483444981.

It can be written as a sum of positive squares in only one way, i.e., 179024400 + 10419984 = 13380^2 + 3228^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (189444389) 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 5 ways as a sum of consecutive naturals, for example, 328609 + ... + 329184.

Almost surely, 2189444384 is an apocalyptic number.

It is an amenable number.

189444384 is an abundant number, since it is smaller than the sum of its proper divisors (349288902).

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

189444384 is a wasteful number, since it uses less digits than its factorization.

189444384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657809 (or 657798 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 189444384 is about 13763.8796856119. The cubic root of 189444384 is about 574.3287784486.

The spelling of 189444384 in words is "one hundred eighty-nine million, four hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 657793 1315586 1973379 2631172 3946758 5262344 5920137 7893516 10524688 11840274 15787032 21049376 23680548 31574064 47361096 63148128 94722192 189444384