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928395 = 33513232
BaseRepresentation
bin11100010101010001011
31202011112000
43202222023
5214202040
631522043
710614456
oct3425213
91664460
10928395
11584576
12389323
13266760
141a249d
15135130
hexe2a8b

928395 has 48 divisors (see below), whose sum is σ = 1858080. Its totient is φ = 437184.

The previous prime is 928351. The next prime is 928399. The reversal of 928395 is 593829.

928395 is nontrivially palindromic in base 4.

928395 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 928395 - 26 = 928331 is a prime.

It is not an unprimeable number, because it can be changed into a prime (928399) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40354 + ... + 40376.

It is an arithmetic number, because the mean of its divisors is an integer number (38710).

2928395 is an apocalyptic number.

928395 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

928395 is a wasteful number, since it uses less digits than its factorization.

928395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 44 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 928395 is about 963.5325630201. The cubic root of 928395 is about 97.5538164437.

The spelling of 928395 in words is "nine hundred twenty-eight thousand, three hundred ninety-five".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 115 117 135 195 207 299 345 351 529 585 621 897 1035 1495 1587 1755 2645 2691 3105 4485 4761 6877 7935 8073 13455 14283 20631 23805 34385 40365 61893 71415 103155 185679 309465 928395