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5484739104 = 25321317237137
BaseRepresentation
bin1010001101110101…
…00111101000100000
3112011020111121121100
411012322213220200
542213043122404
62304124554400
7252626341005
oct50672475040
915136447540
105484739104
112364aa0739
1210909b2a00
136953cc670
143a06038ac
152217a7d39
hex146ea7a20

5484739104 has 432 divisors, whose sum is σ = 18459205128. Its totient is φ = 1534132224.

The previous prime is 5484739103. The next prime is 5484739123. The reversal of 5484739104 is 4019374845.

It can be written as a sum of positive squares in 12 ways, for example, as 2626767504 + 2857971600 = 51252^2 + 53460^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5484739104.

It is not an unprimeable number, because it can be changed into a prime (5484739103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40034524 + ... + 40034660.

Almost surely, 25484739104 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 5484739104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9229602564).

5484739104 is an abundant number, since it is smaller than the sum of its proper divisors (12974466024).

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

5484739104 is a wasteful number, since it uses less digits than its factorization.

5484739104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5484739104 is about 74059.0244602236. The cubic root of 5484739104 is about 1763.5400408126.

The spelling of 5484739104 in words is "five billion, four hundred eighty-four million, seven hundred thirty-nine thousand, one hundred four".