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6192 = 243243
BaseRepresentation
bin1100000110000
322111100
41200300
5144232
644400
724024
oct14060
98440
106192
11471a
123700
132a84
142384
151c7c
hex1830

6192 has 30 divisors (see below), whose sum is σ = 17732. Its totient is φ = 2016.

The previous prime is 6173. The next prime is 6197. The reversal of 6192 is 2916.

Subtracting from 6192 its product of digits (108), we obtain a square (6084 = 782).

It can be divided in two parts, 61 and 92, that added together give a triangular number (153 = T17).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 3, base 6 and base 9.

It is a zygodrome in base 2, base 3 and base 6.

It is not an unprimeable number, because it can be changed into a prime (6197) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123 + ... + 165.

26192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8866).

6192 is an abundant number, since it is smaller than the sum of its proper divisors (11540).

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

6192 is a wasteful number, since it uses less digits than its factorization.

6192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 48 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 6192 is about 78.6892622916. The cubic root of 6192 is about 18.3630006345.

The spelling of 6192 in words is "six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192