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5282069040 = 2432553971427
BaseRepresentation
bin1001110101101010…
…11111101000110000
3111122010010220112200
410322311133220300
541304202202130
62232045023200
7244615563123
oct47265375060
914563126480
105282069040
112270654716
121034b54b00
1366241bc51
143817283ba
1520dac2760
hex13ad5fa30

5282069040 has 240 divisors, whose sum is σ = 18272767968. Its totient is φ = 1366769664.

The previous prime is 5282069033. The next prime is 5282069057. The reversal of 5282069040 is 409602825.

It is a happy number.

5282069040 is a `hidden beast` number, since 528 + 2 + 0 + 6 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 5282068986 and 5282069004.

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, 3700807 + ... + 3702233.

Almost surely, 25282069040 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 5282069040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9136383984).

5282069040 is an abundant number, since it is smaller than the sum of its proper divisors (12990698928).

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

5282069040 is a wasteful number, since it uses less digits than its factorization.

5282069040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5282069040 is about 72677.8442167900. The cubic root of 5282069040 is about 1741.5449615385.

The spelling of 5282069040 in words is "five billion, two hundred eighty-two million, sixty-nine thousand, forty".