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2842164 = 2232136073
BaseRepresentation
bin1010110101111000110100
312100101201100
422311320310
51211422124
6140530100
733105123
oct12657064
95311640
102842164
1116713a6
12b50930
13786870
1453daba
153b21c9
hex2b5e34

2842164 has 36 divisors (see below), whose sum is σ = 7738276. Its totient is φ = 874368.

The previous prime is 2842159. The next prime is 2842181. The reversal of 2842164 is 4612482.

It can be written as a sum of positive squares in 2 ways, for example, as 1542564 + 1299600 = 1242^2 + 1140^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2569 + ... + 3504.

22842164 is an apocalyptic number.

It is an amenable number.

2842164 is an abundant number, since it is smaller than the sum of its proper divisors (4896112).

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

2842164 is a wasteful number, since it uses less digits than its factorization.

2842164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6096 (or 6091 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2842164 is about 1685.8718812531. The cubic root of 2842164 is about 141.6499345098.

The spelling of 2842164 in words is "two million, eight hundred forty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 6073 12146 18219 24292 36438 54657 72876 78949 109314 157898 218628 236847 315796 473694 710541 947388 1421082 2842164