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5006319808 = 26722835641
BaseRepresentation
bin1001010100110011…
…00110000011000000
3110220220021101201011
410222121212003000
540223104213213
62144434450304
7235030005400
oct45231460300
913826241634
105006319808
112139a34196
12b78733994
1361a262319
14356c68800
151e47a403d
hex12a6660c0

5006319808 has 84 divisors (see below), whose sum is σ = 11599252392. Its totient is φ = 2137605120.

The previous prime is 5006319781. The next prime is 5006319809. The reversal of 5006319808 is 8089136005.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5006319809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 884668 + ... + 890308.

It is an arithmetic number, because the mean of its divisors is an integer number (138086338).

Almost surely, 25006319808 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 5006319808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5799626196).

5006319808 is an abundant number, since it is smaller than the sum of its proper divisors (6592932584).

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

5006319808 is a wasteful number, since it uses less digits than its factorization.

5006319808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 5006319808 is about 70755.3517975849. The cubic root of 5006319808 is about 1710.6960913280.

The spelling of 5006319808 in words is "five billion, six million, three hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 283 392 448 566 784 1132 1568 1981 2264 3136 3962 4528 5641 7924 9056 11282 13867 15848 18112 22564 27734 31696 39487 45128 55468 63392 78974 90256 110936 126784 157948 180512 221872 276409 315896 361024 443744 552818 631792 887488 1105636 1263584 1596403 2211272 2527168 3192806 4422544 6385612 8845088 11174821 12771224 17690176 22349642 25542448 44699284 51084896 78223747 89398568 102169792 156447494 178797136 312894988 357594272 625789976 715188544 1251579952 2503159904 5006319808