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193248 = 25321161
BaseRepresentation
bin101111001011100000
3100211002100
4233023200
522140443
64050400
71433256
oct571340
9324070
10193248
11122210
1293a00
1369c63
14505d6
153c3d3
hex2f2e0

193248 has 72 divisors (see below), whose sum is σ = 609336. Its totient is φ = 57600.

The previous prime is 193247. The next prime is 193261. The reversal of 193248 is 842391.

It can be divided in two parts, 193 and 248, that added together give a square (441 = 212).

193248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 193248.

It is not an unprimeable number, because it can be changed into a prime (193243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3138 + ... + 3198.

It is an arithmetic number, because the mean of its divisors is an integer number (8463).

2193248 is an apocalyptic number.

193248 is a gapful number since it is divisible by the number (18) 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 193248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668).

193248 is an abundant number, since it is smaller than the sum of its proper divisors (416088).

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

193248 is a wasteful number, since it uses less digits than its factorization.

193248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 193248 is about 439.5998180163. The cubic root of 193248 is about 57.8147079264.

The spelling of 193248 in words is "one hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 61 66 72 88 96 99 122 132 144 176 183 198 244 264 288 352 366 396 488 528 549 671 732 792 976 1056 1098 1342 1464 1584 1952 2013 2196 2684 2928 3168 4026 4392 5368 5856 6039 8052 8784 10736 12078 16104 17568 21472 24156 32208 48312 64416 96624 193248