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5382803808 = 25353753353
BaseRepresentation
bin1010000001101011…
…10001000101100000
3111220010200202200000
411000311301011200
542010444210213
62250044100000
7250251035364
oct50065610540
914803622600
105382803808
1123124a8198
121062834600
1367a25c015
14390c6b2a4
1521786ec73
hex140d71160

5382803808 has 288 divisors, whose sum is σ = 16657988256. Its totient is φ = 1707982848.

The previous prime is 5382803807. The next prime is 5382803819. The reversal of 5382803808 is 8083082835.

5382803808 is a `hidden beast` number, since 538 + 2 + 80 + 38 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5382803807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15248560 + ... + 15248912.

It is an arithmetic number, because the mean of its divisors is an integer number (57840237).

Almost surely, 25382803808 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 5382803808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328994128).

5382803808 is an abundant number, since it is smaller than the sum of its proper divisors (11275184448).

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

5382803808 is a wasteful number, since it uses less digits than its factorization.

5382803808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5382803808 is about 73367.5937182078. The cubic root of 5382803808 is about 1752.5463674076.

The spelling of 5382803808 in words is "five billion, three hundred eighty-two million, eight hundred three thousand, eight hundred eight".