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5338534304 = 25317175797
BaseRepresentation
bin1001111100011001…
…11001000110100000
3111210001101122022202
410332030321012200
541413131044204
62241423152332
7246202535645
oct47614710640
914701348282
105338534304
11229a510924
12104ba456a8
1367102c04c
14389025dcc
15213a27e1e
hex13e3391a0

5338534304 has 48 divisors (see below), whose sum is σ = 11002231296. Its totient is φ = 2546745600.

The previous prime is 5338534303. The next prime is 5338534319. The reversal of 5338534304 is 4034358335.

It is not an unprimeable number, because it can be changed into a prime (5338534303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32534 + ... + 108330.

It is an arithmetic number, because the mean of its divisors is an integer number (229213152).

Almost surely, 25338534304 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 5338534304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501115648).

5338534304 is an abundant number, since it is smaller than the sum of its proper divisors (5663696992).

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

5338534304 is a wasteful number, since it uses less digits than its factorization.

5338534304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75909 (or 75901 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

The square root of 5338534304 is about 73065.2742689713. The cubic root of 5338534304 is about 1747.7286782563.

The spelling of 5338534304 in words is "five billion, three hundred thirty-eight million, five hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 62 71 124 142 248 284 496 568 992 1136 2201 2272 4402 8804 17608 35216 70432 75797 151594 303188 606376 1212752 2349707 2425504 4699414 5381587 9398828 10763174 18797656 21526348 37595312 43052696 75190624 86105392 166829197 172210784 333658394 667316788 1334633576 2669267152 5338534304