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5729394240 = 263259720509
BaseRepresentation
bin1010101010111111…
…11001111001000000
3112210021212101100200
411111133321321000
543213211103430
62344304445200
7261660022203
oct52537717100
915707771320
105729394240
112480103769
12113a919800
13703cc030b
143c4ccb93a
15237ed3460
hex1557f9e40

5729394240 has 168 divisors, whose sum is σ = 19910861880. Its totient is φ = 1512013824.

The previous prime is 5729394233. The next prime is 5729394257. The reversal of 5729394240 is 424939275.

5729394240 is a `hidden beast` number, since 572 + 9 + 39 + 4 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107993664 + 5621400576 = 10392^2 + 74976^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269106 + ... + 289614.

It is an arithmetic number, because the mean of its divisors is an integer number (118517035).

Almost surely, 25729394240 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 5729394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9955430940).

5729394240 is an abundant number, since it is smaller than the sum of its proper divisors (14181467640).

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

5729394240 is a wasteful number, since it uses less digits than its factorization.

5729394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20629 (or 20616 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5729394240 is about 75692.7621374726. The cubic root of 5729394240 is about 1789.3813327584.

The spelling of 5729394240 in words is "five billion, seven hundred twenty-nine million, three hundred ninety-four thousand, two hundred forty".