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2798004 = 2231124147
BaseRepresentation
bin1010101011000110110100
312021011010210
422223012310
51204014004
6135545420
732532306
oct12530664
95234123
102798004
111641200
12b2b270
1376c731
1452b976
153a4089
hex2ab1b4

2798004 has 72 divisors (see below), whose sum is σ = 7507584. Its totient is φ = 809600.

The previous prime is 2797999. The next prime is 2798011. The reversal of 2798004 is 4008972.

2798004 = 882 + 892 + ... + 2082.

2798004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 59509 + ... + 59555.

It is an arithmetic number, because the mean of its divisors is an integer number (104272).

22798004 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 2798004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753792).

2798004 is an abundant number, since it is smaller than the sum of its proper divisors (4709580).

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

2798004 is a wasteful number, since it uses less digits than its factorization.

2798004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2798004 is about 1672.7235276638. The cubic root of 2798004 is about 140.9124752317.

Subtracting from 2798004 its product of nonzero digits (4032), we obtain a palindrome (2793972).

The spelling of 2798004 in words is "two million, seven hundred ninety-eight thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 47 66 82 94 121 123 132 141 164 188 242 246 282 363 451 484 492 517 564 726 902 1034 1353 1452 1551 1804 1927 2068 2706 3102 3854 4961 5412 5687 5781 6204 7708 9922 11374 11562 14883 17061 19844 21197 22748 23124 29766 34122 42394 59532 63591 68244 84788 127182 233167 254364 466334 699501 932668 1399002 2798004