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2804208 = 2431147113
BaseRepresentation
bin1010101100100111110000
312021110122120
422230213300
51204213313
6140034240
732556351
oct12544760
95243576
102804208
111645930
12b32980
137724c4
1452dd28
153a5d23
hex2ac9f0

2804208 has 80 divisors (see below), whose sum is σ = 8142336. Its totient is φ = 824320.

The previous prime is 2804203. The next prime is 2804209. The reversal of 2804208 is 8024082.

2804208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2804203) 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, 24760 + ... + 24872.

22804208 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 2804208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071168).

2804208 is an abundant number, since it is smaller than the sum of its proper divisors (5338128).

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

2804208 is a wasteful number, since it uses less digits than its factorization.

2804208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2804208 is about 1674.5769615040. The cubic root of 2804208 is about 141.0165465215.

The spelling of 2804208 in words is "two million, eight hundred four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 113 132 141 176 188 226 264 282 339 376 452 517 528 564 678 752 904 1034 1128 1243 1356 1551 1808 2068 2256 2486 2712 3102 3729 4136 4972 5311 5424 6204 7458 8272 9944 10622 12408 14916 15933 19888 21244 24816 29832 31866 42488 58421 59664 63732 84976 116842 127464 175263 233684 254928 350526 467368 701052 934736 1402104 2804208