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842856 = 233729173
BaseRepresentation
bin11001101110001101000
31120211011220
43031301220
5203432411
630022040
710110210
oct3156150
91524156
10842856
11526283
12347920
13236841
1417d240
15119b06
hexcdc68

842856 has 64 divisors (see below), whose sum is σ = 2505600. Its totient is φ = 231168.

The previous prime is 842819. The next prime is 842857. The reversal of 842856 is 658248.

842856 = 252 + 262 + ... + 1362.

842856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842857) by changing a digit.

842856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4786 + ... + 4958.

It is an arithmetic number, because the mean of its divisors is an integer number (39150).

2842856 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 842856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252800).

842856 is an abundant number, since it is smaller than the sum of its proper divisors (1662744).

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

842856 is a wasteful number, since it uses less digits than its factorization.

842856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 214 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 842856 is about 918.0718926097. The cubic root of 842856 is about 94.4606930393.

The spelling of 842856 in words is "eight hundred forty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 173 174 203 232 346 348 406 519 609 692 696 812 1038 1211 1218 1384 1624 2076 2422 2436 3633 4152 4844 4872 5017 7266 9688 10034 14532 15051 20068 29064 30102 35119 40136 60204 70238 105357 120408 140476 210714 280952 421428 842856