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5408901008 = 247538771039
BaseRepresentation
bin1010000100110010…
…10100011110010000
3111221221210122021222
411002121110132100
542034134313013
62252415304212
7251015620460
oct50231243620
914857718258
105408901008
112326202425
12106b51b068
13682798754
14394501ba0
15219cc7508
hex142654790

5408901008 has 80 divisors (see below), whose sum is σ = 12228503040. Its totient is φ = 2269582848.

The previous prime is 5408900977. The next prime is 5408901037. The reversal of 5408901008 is 8001098045.

It is a super-2 number, since 2×54089010082 = 58512420228686832128, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5205353 + ... + 5206391.

It is an arithmetic number, because the mean of its divisors is an integer number (152856288).

Almost surely, 25408901008 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 5408901008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114251520).

5408901008 is an abundant number, since it is smaller than the sum of its proper divisors (6819602032).

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

5408901008 is a wasteful number, since it uses less digits than its factorization.

5408901008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 5408901008 is about 73545.2310350576. The cubic root of 5408901008 is about 1755.3740658210.

The spelling of 5408901008 in words is "five billion, four hundred eight million, nine hundred one thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 877 1039 1484 1754 2078 2968 3508 4156 5936 6139 7016 7273 8312 12278 14032 14546 16624 24556 29092 46481 49112 55067 58184 92962 98224 110134 116368 185924 220268 325367 371848 385469 440536 650734 743696 770938 881072 911203 1301468 1541876 1822406 2602936 3083752 3644812 5205872 6167504 6378421 7289624 12756842 14579248 25513684 48293759 51027368 96587518 102054736 193175036 338056313 386350072 676112626 772700144 1352225252 2704450504 5408901008