Search a number
-
+
193888 = 257383
BaseRepresentation
bin101111010101100000
3100211222001
4233111200
522201023
64053344
71435162
oct572540
9324861
10193888
11122742
1294254
136a336
1450932
153c6ad
hex2f560

193888 has 24 divisors (see below), whose sum is σ = 391608. Its totient is φ = 94464.

The previous prime is 193883. The next prime is 193891. The reversal of 193888 is 888391.

193888 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2295 + ... + 2377.

It is an arithmetic number, because the mean of its divisors is an integer number (16317).

2193888 is an apocalyptic number.

It is an amenable number.

193888 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

193888 is an equidigital number, since it uses as much as digits as its factorization.

193888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its digits is 13824, while the sum is 37.

The square root of 193888 is about 440.3271511047. The cubic root of 193888 is about 57.8784613087.

It can be divided in two parts, 193 and 888, that added together give a triangular number (1081 = T46).

The spelling of 193888 in words is "one hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 73 83 146 166 292 332 584 664 1168 1328 2336 2656 6059 12118 24236 48472 96944 193888