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2828646 = 232167941
BaseRepresentation
bin1010110010100101100110
312022201011200
422302211212
51211004041
6140343330
733020532
oct12624546
95281150
102828646
111662227
12b44b46
13780672
14538bc2
153ad1b6
hex2b2966

2828646 has 24 divisors (see below), whose sum is σ = 6171984. Its totient is φ = 936240.

The previous prime is 2828641. The next prime is 2828717. The reversal of 2828646 is 6468282.

2828646 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 646 = 666.

2828646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2828646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828641) 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 11 ways as a sum of consecutive naturals, for example, 2536 + ... + 3476.

It is an arithmetic number, because the mean of its divisors is an integer number (257166).

22828646 is an apocalyptic number.

2828646 is an abundant number, since it is smaller than the sum of its proper divisors (3343338).

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

2828646 is a wasteful number, since it uses less digits than its factorization.

2828646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1113 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2828646 is about 1681.8579012509. The cubic root of 2828646 is about 141.4250040641.

The spelling of 2828646 in words is "two million, eight hundred twenty-eight thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 167 334 501 941 1002 1503 1882 2823 3006 5646 8469 16938 157147 314294 471441 942882 1414323 2828646