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2804076 = 2232117397
BaseRepresentation
bin1010101100100101101100
312021110110200
422230211230
51204212301
6140033500
732556102
oct12544554
95243420
102804076
111645820
12b32890
13772422
1452dc72
153a5c86
hex2ac96c

2804076 has 72 divisors (see below), whose sum is σ = 7919184. Its totient is φ = 829440.

The previous prime is 2804069. The next prime is 2804083. The reversal of 2804076 is 6704082.

2804076 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 (2804069) and next prime (2804083).

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, 28860 + ... + 28956.

22804076 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 2804076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959592).

2804076 is an abundant number, since it is smaller than the sum of its proper divisors (5115108).

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

2804076 is a wasteful number, since it uses less digits than its factorization.

2804076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2804076 is about 1674.5375481010. The cubic root of 2804076 is about 141.0143338378.

It can be divided in two parts, 280 and 4076, that added together give a square (4356 = 662).

The spelling of 2804076 in words is "two million, eight hundred four thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 97 99 132 146 194 198 219 291 292 388 396 438 582 657 803 873 876 1067 1164 1314 1606 1746 2134 2409 2628 3201 3212 3492 4268 4818 6402 7081 7227 9603 9636 12804 14162 14454 19206 21243 28324 28908 38412 42486 63729 77891 84972 127458 155782 233673 254916 311564 467346 701019 934692 1402038 2804076