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192192 = 26371113
BaseRepresentation
bin101110111011000000
3100202122020
4232323000
522122232
64041440
71430220
oct567300
9322566
10192192
11121440
1293280
1369630
1450080
153be2c
hex2eec0

192192 has 112 divisors (see below), whose sum is σ = 682752. Its totient is φ = 46080.

The previous prime is 192191. The next prime is 192193. The reversal of 192192 is 291291.

192192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (192191) and next prime (192193).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (324) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14778 + ... + 14790.

It is an arithmetic number, because the mean of its divisors is an integer number (6096).

2192192 is an apocalyptic number.

192192 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 192192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341376).

192192 is an abundant number, since it is smaller than the sum of its proper divisors (490560).

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

192192 is a wasteful number, since it uses less digits than its factorization.

192192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 36 counting only the distinct ones).

The product of its digits is 324, while the sum is 24.

The square root of 192192 is about 438.3970802822. The cubic root of 192192 is about 57.7092064001.

192192 divided by its sum of digits (24) gives a palindrome (8008).

Subtracting 192192 from its reverse (291291), we obtain a palindrome (99099).

It can be divided in two parts, 19 and 2192, that added together give a triangular number (2211 = T66).

The spelling of 192192 in words is "one hundred ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 52 56 64 66 77 78 84 88 91 96 104 112 132 143 154 156 168 176 182 192 208 224 231 264 273 286 308 312 336 352 364 416 429 448 462 528 546 572 616 624 672 704 728 832 858 924 1001 1056 1092 1144 1232 1248 1344 1456 1716 1848 2002 2112 2184 2288 2464 2496 2912 3003 3432 3696 4004 4368 4576 4928 5824 6006 6864 7392 8008 8736 9152 12012 13728 14784 16016 17472 24024 27456 32032 48048 64064 96096 192192