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5265786240 = 2733511132131
BaseRepresentation
bin1001110011101110…
…11000010110000000
3111120222111122202000
410321313120112000
541241020124430
62230304024000
7244330305321
oct47167302600
914528448660
105265786240
112262443160
12102b602000
1365bc3a760
1437d4ca448
1520c457e60
hex139dd8580

5265786240 has 512 divisors, whose sum is σ = 21920371200. Its totient is φ = 1177804800.

The previous prime is 5265786223. The next prime is 5265786259. The reversal of 5265786240 is 426875625.

5265786240 is a `hidden beast` number, since 52 + 6 + 578 + 6 + 24 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2469975 + ... + 2472105.

It is an arithmetic number, because the mean of its divisors is an integer number (42813225).

Almost surely, 25265786240 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 5265786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10960185600).

5265786240 is an abundant number, since it is smaller than the sum of its proper divisors (16654584960).

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

5265786240 is a wasteful number, since it uses less digits than its factorization.

5265786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5265786240 is about 72565.7373696430. The cubic root of 5265786240 is about 1739.7535917418.

The spelling of 5265786240 in words is "five billion, two hundred sixty-five million, seven hundred eighty-six thousand, two hundred forty".