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5248938240 = 283357131669
BaseRepresentation
bin1001110001101110…
…00111000100000000
3111112210210200122000
410320313013010000
541222212010430
62224502544000
7244034144640
oct47067070400
914483720560
105248938240
112253985a97
121025a38000
136585bbc20
1437b182520
1520ac2ae60
hex138dc7100

5248938240 has 576 divisors, whose sum is σ = 22938585600. Its totient is φ = 1106804736.

The previous prime is 5248938229. The next prime is 5248938269. The reversal of 5248938240 is 428398425.

5248938240 is a `hidden beast` number, since 52 + 489 + 3 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144126 + ... + 3145794.

Almost surely, 25248938240 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 5248938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11469292800).

5248938240 is an abundant number, since it is smaller than the sum of its proper divisors (17689647360).

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

5248938240 is a wasteful number, since it uses less digits than its factorization.

5248938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5248938240 is about 72449.5565203818. The cubic root of 5248938240 is about 1737.8961492724.

The spelling of 5248938240 in words is "five billion, two hundred forty-eight million, nine hundred thirty-eight thousand, two hundred forty".