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5408903808 = 2732721131281
BaseRepresentation
bin1010000100110010…
…10101001010000000
3111221221210210010200
411002121111022000
542034134410213
62252415325200
7251015631600
oct50231251200
914857723120
105408903808
112326204540
12106b520800
13682799ac9
14394502c00
15219cc8273
hex142655280

5408903808 has 576 divisors, whose sum is σ = 20461559040. Its totient is φ = 1354752000.

The previous prime is 5408903791. The next prime is 5408903837. The reversal of 5408903808 is 8083098045.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 19248628 + ... + 19248908.

It is an arithmetic number, because the mean of its divisors is an integer number (35523540).

Almost surely, 25408903808 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 5408903808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10230779520).

5408903808 is an abundant number, since it is smaller than the sum of its proper divisors (15052655232).

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

5408903808 is a wasteful number, since it uses less digits than its factorization.

5408903808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5408903808 is about 73545.2500709597. The cubic root of 5408903808 is about 1755.3743687197.

The spelling of 5408903808 in words is "five billion, four hundred eight million, nine hundred three thousand, eight hundred eight".