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2804282568 = 233231240529
BaseRepresentation
bin1010011100100101…
…1111010011001000
321020102202022111100
42213021133103020
521220344020233
61142133301400
7126331002633
oct24711372310
97212668440
102804282568
111209a42aaa
12663194860
13358c995c9
141c861ac1a
151162d3813
hexa725f4c8

2804282568 has 72 divisors (see below), whose sum is σ = 7848026550. Its totient is φ = 904584960.

The previous prime is 2804282563. The next prime is 2804282581. The reversal of 2804282568 is 8652824082.

2804282568 is a `hidden beast` number, since 2 + 8 + 0 + 4 + 2 + 82 + 568 = 666.

2804282568 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1720424484 + 1083858084 = 41478^2 + 32922^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2804282563) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48928 + ... + 89456.

Almost surely, 22804282568 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 2804282568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924013275).

2804282568 is an abundant number, since it is smaller than the sum of its proper divisors (5043743982).

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

2804282568 is a wasteful number, since it uses less digits than its factorization.

2804282568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40603 (or 40565 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 2804282568 is about 52955.4772237962. The cubic root of 2804282568 is about 1410.1779645599.

The spelling of 2804282568 in words is "two billion, eight hundred four million, two hundred eighty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1116 1922 2232 2883 3844 5766 7688 8649 11532 17298 23064 34596 40529 69192 81058 121587 162116 243174 324232 364761 486348 729522 972696 1256399 1459044 2512798 2918088 3769197 5025596 7538394 10051192 11307591 15076788 22615182 30153576 38948369 45230364 77896738 90460728 116845107 155793476 233690214 311586952 350535321 467380428 701070642 934760856 1402141284 2804282568