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92328 = 2333847
BaseRepresentation
bin10110100010101000
311200122120
4112202220
510423303
61551240
7533115
oct264250
9150576
1092328
1163405
1245520
1333042
142590c
151c553
hex168a8

92328 has 16 divisors (see below), whose sum is σ = 230880. Its totient is φ = 30768.

The previous prime is 92317. The next prime is 92333. The reversal of 92328 is 82329.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3847 = 92328 / (9 + 2 + 3 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 92298 and 92307.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92328.

It is an unprimeable number.

92328 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1900 + ... + 1947.

It is an arithmetic number, because the mean of its divisors is an integer number (14430).

292328 is an apocalyptic number.

It is an amenable number.

92328 is an abundant number, since it is smaller than the sum of its proper divisors (138552).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115440).

92328 is a wasteful number, since it uses less digits than its factorization.

92328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3852 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 92328 is about 303.8552286863. The cubic root of 92328 is about 45.1971596095.

Subtracting from 92328 its reverse (82329), we obtain a palindrome (9999).

The spelling of 92328 in words is "ninety-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 3847 7694 11541 15388 23082 30776 46164 92328