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392168 = 23747149
BaseRepresentation
bin1011111101111101000
3201220221202
41133233220
5100022133
612223332
73222230
oct1375750
9656852
10392168
11248707
1216ab48
1310966a
14a2cc0
157b2e8
hex5fbe8

392168 has 32 divisors (see below), whose sum is σ = 864000. Its totient is φ = 163392.

The previous prime is 392159. The next prime is 392177. The reversal of 392168 is 861293.

It can be divided in two parts, 392 and 168, that multiplied together give a palindrome (65856).

It is an interprime number because it is at equal distance from previous prime (392159) and next prime (392177).

It is a self number, because there is not a number n which added to its sum of digits gives 392168.

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 392168.

It is an unprimeable number.

392168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2558 + ... + 2706.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2392168 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 392168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

392168 is an abundant number, since it is smaller than the sum of its proper divisors (471832).

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

392168 is a wasteful number, since it uses less digits than its factorization.

392168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 392168 is about 626.2331834069. The cubic root of 392168 is about 73.1965678664.

The spelling of 392168 in words is "three hundred ninety-two thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 47 56 94 149 188 298 329 376 596 658 1043 1192 1316 2086 2632 4172 7003 8344 14006 28012 49021 56024 98042 196084 392168