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188800893 = 3253397997
BaseRepresentation
bin10110100000011…
…01111101111101
3111011021002010200
423100031331331
5341313112033
630422354113
74451531631
oct1320157575
9434232120
10188800893
11976339a6
125328b939
1330165a08
141b108dc1
1511896013
hexb40df7d

188800893 has 24 divisors (see below), whose sum is σ = 278837208. Its totient is φ = 123057792.

The previous prime is 188800883. The next prime is 188800907. The reversal of 188800893 is 398008881.

It can be written as a sum of positive squares in 4 ways, for example, as 96294969 + 92505924 = 9813^2 + 9618^2 .

It is not a de Polignac number, because 188800893 - 24 = 188800877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188800873) 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 23 ways as a sum of consecutive naturals, for example, 188871 + ... + 189867.

It is an arithmetic number, because the mean of its divisors is an integer number (11618217).

Almost surely, 2188800893 is an apocalyptic number.

It is an amenable number.

188800893 is a deficient number, since it is larger than the sum of its proper divisors (90036315).

188800893 is a wasteful number, since it uses less digits than its factorization.

188800893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 188800893 is about 13740.4837251095. The cubic root of 188800893 is about 573.6777612783.

The spelling of 188800893 in words is "one hundred eighty-eight million, eight hundred thousand, eight hundred ninety-three".

Divisors: 1 3 9 53 159 397 477 997 1191 2991 3573 8973 21041 52841 63123 158523 189369 395809 475569 1187427 3562281 20977877 62933631 188800893