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195380892 = 22327977993
BaseRepresentation
bin10111010010101…
…00011010011100
3111121122101012100
423221110122130
5400004142032
631215405100
74561465410
oct1351243234
9447571170
10195380892
11a0318613
1255523790
133162a9c5
141bd3cd40
151224597c
hexba5469c

195380892 has 72 divisors (see below), whose sum is σ = 570323936. Its totient is φ = 55240704.

The previous prime is 195380873. The next prime is 195380903. The reversal of 195380892 is 298083591.

It is a happy number.

195380892 is a `hidden beast` number, since 195 + 380 + 89 + 2 = 666.

195380892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20448 + ... + 28440.

Almost surely, 2195380892 is an apocalyptic number.

195380892 is a gapful number since it is divisible by the number (12) 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 195380892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285161968).

195380892 is an abundant number, since it is smaller than the sum of its proper divisors (374943044).

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

195380892 is a wasteful number, since it uses less digits than its factorization.

195380892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8107 (or 8102 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 195380892 is about 13977.8715117860. The cubic root of 195380892 is about 580.2663184411.

The spelling of 195380892 in words is "one hundred ninety-five million, three hundred eighty thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 194 252 291 388 582 679 873 1164 1358 1746 2037 2716 3492 4074 6111 7993 8148 12222 15986 23979 24444 31972 47958 55951 71937 95916 111902 143874 167853 223804 287748 335706 503559 671412 775321 1007118 1550642 2014236 2325963 3101284 4651926 5427247 6977889 9303852 10854494 13955778 16281741 21708988 27911556 32563482 48845223 65126964 97690446 195380892