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842164 = 221731217
BaseRepresentation
bin11001101100110110100
31120210020021
43031212310
5203422124
630014524
710105201
oct3154664
91523207
10842164
11525804
12347444
1323642b
1417cca8
151197e4
hexcd9b4

842164 has 12 divisors (see below), whose sum is σ = 1483524. Its totient is φ = 418304.

The previous prime is 842161. The next prime is 842167. The reversal of 842164 is 461248.

It is an interprime number because it is at equal distance from previous prime (842161) and next prime (842167).

It can be written as a sum of positive squares in 2 ways, for example, as 550564 + 291600 = 742^2 + 540^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84 + ... + 1300.

It is an arithmetic number, because the mean of its divisors is an integer number (123627).

2842164 is an apocalyptic number.

It is an amenable number.

842164 is a deficient number, since it is larger than the sum of its proper divisors (641360).

842164 is a wasteful number, since it uses less digits than its factorization.

842164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1392 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 842164 is about 917.6949384191. The cubic root of 842164 is about 94.4348346496.

The spelling of 842164 in words is "eight hundred forty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 173 346 692 1217 2434 4868 210541 421082 842164