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2642874 = 2313311093
BaseRepresentation
bin1010000101001110111010
311222021100020
422011032322
51134032444
6132351310
731315113
oct12051672
94867306
102642874
1115456a3
12a75536
13716c40
144cb20a
15373119
hex2853ba

2642874 has 32 divisors (see below), whose sum is σ = 5881344. Its totient is φ = 786240.

The previous prime is 2642869. The next prime is 2642879. The reversal of 2642874 is 4782462.

2642874 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2642869) and next prime (2642879).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642879) 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, 1872 + ... + 2964.

It is an arithmetic number, because the mean of its divisors is an integer number (183792).

22642874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940672).

2642874 is an abundant number, since it is smaller than the sum of its proper divisors (3238470).

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

2642874 is a wasteful number, since it uses less digits than its factorization.

2642874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142.

The product of its digits is 21504, while the sum is 33.

The square root of 2642874 is about 1625.6918527199. The cubic root of 2642874 is about 138.2585993319.

The spelling of 2642874 in words is "two million, six hundred forty-two thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 1093 1209 2186 2418 3279 6558 14209 28418 33883 42627 67766 85254 101649 203298 440479 880958 1321437 2642874