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2643942 = 237217232
BaseRepresentation
bin1010000101011111100110
311222022210210
422011133212
51134101232
6132400250
731321200
oct12053746
94868723
102643942
111546484
12a76086
13717582
144cb770
153735cc
hex2857e6

2643942 has 72 divisors (see below), whose sum is σ = 6808536. Its totient is φ = 680064.

The previous prime is 2643917. The next prime is 2643943. The reversal of 2643942 is 2493462.

2643942 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 219 + 6 + 4 + 313 + 9 + 45 + 219 .

2643942 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2643943) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114943 + ... + 114965.

It is an arithmetic number, because the mean of its divisors is an integer number (94563).

22643942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2643942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404268).

2643942 is an abundant number, since it is smaller than the sum of its proper divisors (4164594).

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

2643942 is a wasteful number, since it uses less digits than its factorization.

2643942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 2643942 is about 1626.0202950763. The cubic root of 2643942 is about 138.2772205120.

The spelling of 2643942 in words is "two million, six hundred forty-three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 49 51 69 98 102 119 138 147 161 238 294 322 357 391 483 529 714 782 833 966 1058 1127 1173 1587 1666 2254 2346 2499 2737 3174 3381 3703 4998 5474 6762 7406 8211 8993 11109 16422 17986 19159 22218 25921 26979 38318 51842 53958 57477 62951 77763 114954 125902 155526 188853 377706 440657 881314 1321971 2643942