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2838085 = 52322937
BaseRepresentation
bin1010110100111001000101
312100012010021
422310321011
51211304320
6140455141
733060205
oct12647105
95305107
102838085
111669328
12b4a4b1
13784a53
1453c405
153b0daa
hex2b4e45

2838085 has 24 divisors (see below), whose sum is σ = 3782520. Its totient is φ = 2040192.

The previous prime is 2838079. The next prime is 2838091. The reversal of 2838085 is 5808382.

It is a happy number.

2838085 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 (2838079) and next prime (2838091).

It can be written as a sum of positive squares in 4 ways, for example, as 804609 + 2033476 = 897^2 + 1426^2 .

It is not a de Polignac number, because 2838085 - 219 = 2313797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2838085.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 76687 + ... + 76723.

It is an arithmetic number, because the mean of its divisors is an integer number (157605).

22838085 is an apocalyptic number.

It is an amenable number.

2838085 is a deficient number, since it is larger than the sum of its proper divisors (944435).

2838085 is a wasteful number, since it uses less digits than its factorization.

2838085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 2838085 is about 1684.6616871052. The cubic root of 2838085 is about 141.5821379631.

The spelling of 2838085 in words is "two million, eight hundred thirty-eight thousand, eighty-five".

Divisors: 1 5 23 29 37 115 145 185 529 667 851 1073 2645 3335 4255 5365 15341 19573 24679 76705 97865 123395 567617 2838085