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2828364 = 2237113061
BaseRepresentation
bin1010110010100001001100
312022200210020
422302201030
51211001424
6140342140
733016650
oct12624114
95280706
102828364
111661aa0
12b44950
137804b6
14538a60
153ad079
hex2b284c

2828364 has 48 divisors (see below), whose sum is σ = 8230656. Its totient is φ = 734400.

The previous prime is 2828363. The next prime is 2828383. The reversal of 2828364 is 4638282.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2828363) 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, 607 + ... + 2454.

It is an arithmetic number, because the mean of its divisors is an integer number (171472).

22828364 is an apocalyptic number.

It is an amenable number.

2828364 is an abundant number, since it is smaller than the sum of its proper divisors (5402292).

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

2828364 is a wasteful number, since it uses less digits than its factorization.

2828364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3084 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 2828364 is about 1681.7740633034. The cubic root of 2828364 is about 141.4203041504.

It can be divided in two parts, 282 and 8364, that added together give a triangular number (8646 = T131).

The spelling of 2828364 in words is "two million, eight hundred twenty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 3061 6122 9183 12244 18366 21427 33671 36732 42854 64281 67342 85708 101013 128562 134684 202026 235697 257124 404052 471394 707091 942788 1414182 2828364