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828894 = 231119661
BaseRepresentation
bin11001010010111011110
31120010000210
43022113132
5203011034
625433250
710021413
oct3122736
91503023
10828894
11516840
1233b826
13230391
1417810a
151158e9
hexca5de

828894 has 32 divisors (see below), whose sum is σ = 1906560. Its totient is φ = 237600.

The previous prime is 828889. The next prime is 828899. The reversal of 828894 is 498828.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (828889) and next prime (828899).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828899) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 924 + ... + 1584.

It is an arithmetic number, because the mean of its divisors is an integer number (59580).

2828894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953280).

828894 is an abundant number, since it is smaller than the sum of its proper divisors (1077666).

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

828894 is a wasteful number, since it uses less digits than its factorization.

828894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696.

The product of its digits is 36864, while the sum is 39.

The square root of 828894 is about 910.4361592116. The cubic root of 828894 is about 93.9362023721.

The spelling of 828894 in words is "eight hundred twenty-eight thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 661 1254 1322 1983 3966 7271 12559 14542 21813 25118 37677 43626 75354 138149 276298 414447 828894