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5282339040 = 2532511379013
BaseRepresentation
bin1001110101101101…
…00001100011100000
3111122010122121220200
410322312201203200
541304234322130
62232054505200
7244621066236
oct47266414340
914563577820
105282339040
112270819560
121035065200
136624b4b04
14381798956
1520db27760
hex13ada18e0

5282339040 has 288 divisors, whose sum is σ = 20198426976. Its totient is φ = 1245818880.

The previous prime is 5282338993. The next prime is 5282339053. The reversal of 5282339040 is 409332825.

5282339040 is a `hidden beast` number, since 5 + 282 + 339 + 0 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5282338986 and 5282339004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581574 + ... + 590586.

It is an arithmetic number, because the mean of its divisors is an integer number (70133427).

Almost surely, 25282339040 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 5282339040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10099213488).

5282339040 is an abundant number, since it is smaller than the sum of its proper divisors (14916087936).

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

5282339040 is a wasteful number, since it uses less digits than its factorization.

5282339040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9082 (or 9071 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5282339040 is about 72679.7017054968. The cubic root of 5282339040 is about 1741.5746348303.

The spelling of 5282339040 in words is "five billion, two hundred eighty-two million, three hundred thirty-nine thousand, forty".