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188993064 = 23313679041
BaseRepresentation
bin10110100001111…
…00111000101000
3111011121211202010
423100330320220
5341340234224
630430435520
74453262121
oct1320747050
9434554663
10188993064
1197755317
1253362ba0
1330202320
141b159048
15118d2e29
hexb43ce28

188993064 has 64 divisors (see below), whose sum is σ = 516479040. Its totient is φ = 57277440.

The previous prime is 188993027. The next prime is 188993083. The reversal of 188993064 is 460399881.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16384 + ... + 25424.

It is an arithmetic number, because the mean of its divisors is an integer number (8069985).

Almost surely, 2188993064 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 188993064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258239520).

188993064 is an abundant number, since it is smaller than the sum of its proper divisors (327485976).

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

188993064 is a wasteful number, since it uses less digits than its factorization.

188993064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9130 (or 9126 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 188993064 is about 13747.4748226720. The cubic root of 188993064 is about 573.8723345920.

The spelling of 188993064 in words is "one hundred eighty-eight million, nine hundred ninety-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 156 201 268 312 402 536 804 871 1608 1742 2613 3484 5226 6968 9041 10452 18082 20904 27123 36164 54246 72328 108492 117533 216984 235066 352599 470132 605747 705198 940264 1211494 1410396 1817241 2422988 2820792 3634482 4845976 7268964 7874711 14537928 15749422 23624133 31498844 47248266 62997688 94496532 188993064