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2693838 = 237312069
BaseRepresentation
bin1010010001101011001110
312001212020210
422101223032
51142200323
6133423250
731616520
oct12215316
95055223
102693838
11157aa14
12a9ab26
137341b4
14501a10
15383293
hex291ace

2693838 has 32 divisors (see below), whose sum is σ = 6359040. Its totient is φ = 744480.

The previous prime is 2693833. The next prime is 2693849. The reversal of 2693838 is 8383962.

2693838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2693796 and 2693805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2693833) 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, 268 + ... + 2336.

It is an arithmetic number, because the mean of its divisors is an integer number (198720).

22693838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2693838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179520).

2693838 is an abundant number, since it is smaller than the sum of its proper divisors (3665202).

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

2693838 is a wasteful number, since it uses less digits than its factorization.

2693838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112.

The product of its digits is 62208, while the sum is 39.

The square root of 2693838 is about 1641.2915645917. The cubic root of 2693838 is about 139.1416529479.

The spelling of 2693838 in words is "two million, six hundred ninety-three thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 2069 4138 6207 12414 14483 28966 43449 64139 86898 128278 192417 384834 448973 897946 1346919 2693838