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2048868 = 223361311
BaseRepresentation
bin111110100001101100100
310212002112000
413310031210
51011030433
6111525300
723262243
oct7641544
93762460
102048868
11117a388
12829830
13569763
143b495a
152a7113
hex1f4364

2048868 has 48 divisors (see below), whose sum is σ = 5416320. Its totient is φ = 669600.

The previous prime is 2048867. The next prime is 2048887. The reversal of 2048868 is 8688402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2048861) 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, 6433 + ... + 6743.

It is an arithmetic number, because the mean of its divisors is an integer number (112840).

22048868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708160).

2048868 is an abundant number, since it is smaller than the sum of its proper divisors (3367452).

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

2048868 is a wasteful number, since it uses less digits than its factorization.

2048868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2048868 is about 1431.3867401929. The cubic root of 2048868 is about 127.0100225624.

It can be divided in two parts, 2048 and 868, that added together give a square (2916 = 542).

The spelling of 2048868 in words is "two million, forty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 311 366 549 622 732 933 1098 1244 1647 1866 2196 2799 3294 3732 5598 6588 8397 11196 16794 18971 33588 37942 56913 75884 113826 170739 227652 341478 512217 682956 1024434 2048868