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2898168 = 2337131327
BaseRepresentation
bin1011000011100011111000
312110020112120
423003203320
51220220133
6142041240
733430320
oct13034370
95406476
102898168
1116aa489
12b79220
137a61c0
14556280
153c3ab3
hex2c38f8

2898168 has 64 divisors (see below), whose sum is σ = 8924160. Its totient is φ = 763776.

The previous prime is 2898151. The next prime is 2898169. The reversal of 2898168 is 8618982.

2898168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2898169) 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 15 ways as a sum of consecutive naturals, for example, 1521 + ... + 2847.

It is an arithmetic number, because the mean of its divisors is an integer number (139440).

22898168 is an apocalyptic number.

2898168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2898168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462080).

2898168 is an abundant number, since it is smaller than the sum of its proper divisors (6025992).

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

2898168 is a wasteful number, since it uses less digits than its factorization.

2898168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1352 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 2898168 is about 1702.4006578946. The cubic root of 2898168 is about 142.5742795261.

The spelling of 2898168 in words is "two million, eight hundred ninety-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1327 2184 2654 3981 5308 7962 9289 10616 15924 17251 18578 27867 31848 34502 37156 51753 55734 69004 74312 103506 111468 120757 138008 207012 222936 241514 362271 414024 483028 724542 966056 1449084 2898168