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2004568896 = 263115916087
BaseRepresentation
bin111011101111011…
…0100101101000000
312011200221122120110
41313132310231000
513101132201041
6530524511320
7100450361121
oct16736645500
95150848513
102004568896
11939588310
1247b3ab540
1325c3b6b55
14150328048
15baeb6516
hex777b4b40

2004568896 has 112 divisors (see below), whose sum is σ = 5884346880. Its totient is φ = 597112320.

The previous prime is 2004568877. The next prime is 2004568921. The reversal of 2004568896 is 6988654002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116565 + ... + 132651.

Almost surely, 22004568896 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 2004568896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942173440).

2004568896 is an abundant number, since it is smaller than the sum of its proper divisors (3879777984).

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

2004568896 is a wasteful number, since it uses less digits than its factorization.

2004568896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16172 (or 16162 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 2004568896 is about 44772.4122200267. The cubic root of 2004568896 is about 1260.8797282889.

The spelling of 2004568896 in words is "two billion, four million, five hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 88 96 118 132 176 177 192 236 264 352 354 472 528 649 704 708 944 1056 1298 1416 1888 1947 2112 2596 2832 3776 3894 5192 5664 7788 10384 11328 15576 16087 20768 31152 32174 41536 48261 62304 64348 96522 124608 128696 176957 193044 257392 353914 386088 514784 530871 707828 772176 949133 1029568 1061742 1415656 1544352 1898266 2123484 2831312 2847399 3088704 3796532 4246968 5662624 5694798 7593064 8493936 10440463 11325248 11389596 15186128 16987872 20880926 22779192 30372256 31321389 33975744 41761852 45558384 60744512 62642778 83523704 91116768 125285556 167047408 182233536 250571112 334094816 501142224 668189632 1002284448 2004568896