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828835 = 57217199
BaseRepresentation
bin11001010010110100011
31120002221121
43022112203
5203010320
625433111
710021300
oct3122643
91502847
10828835
11516797
1233b797
13230347
141780a7
151158aa
hexca5a3

828835 has 24 divisors (see below), whose sum is σ = 1231200. Its totient is φ = 532224.

The previous prime is 828833. The next prime is 828859. The reversal of 828835 is 538828.

It is a happy number.

828835 is nontrivially palindromic in base 4.

828835 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 828835 - 21 = 828833 is a prime.

828835 is a lucky number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 828835.

It is not an unprimeable number, because it can be changed into a prime (828833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4066 + ... + 4264.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

2828835 is an apocalyptic number.

828835 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

828835 is a deficient number, since it is larger than the sum of its proper divisors (402365).

828835 is a wasteful number, since it uses less digits than its factorization.

828835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The square root of 828835 is about 910.4037565828. The cubic root of 828835 is about 93.9339735518.

The spelling of 828835 in words is "eight hundred twenty-eight thousand, eight hundred thirty-five".

Divisors: 1 5 7 17 35 49 85 119 199 245 595 833 995 1393 3383 4165 6965 9751 16915 23681 48755 118405 165767 828835