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5250735360 = 283351322931
BaseRepresentation
bin1001110001111011…
…11101110100000000
3111112221011222211000
410320331331310000
541223142012420
62225005252000
7244055341233
oct47075756400
914487158730
105250735360
1122549a3212
121026564000
13658a9ac00
1437b4cd41a
1520ae83690
hex138f7dd00

5250735360 has 864 divisors, whose sum is σ = 21545395200. Its totient is φ = 1207664640.

The previous prime is 5250735359. The next prime is 5250735383. The reversal of 5250735360 is 635370525.

5250735360 is a `hidden beast` number, since 5 + 2 + 50 + 73 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3380 × 3348 × 464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169378545 + ... + 169378575.

It is an arithmetic number, because the mean of its divisors is an integer number (24936800).

Almost surely, 25250735360 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 5250735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10772697600).

5250735360 is an abundant number, since it is smaller than the sum of its proper divisors (16294659840).

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

5250735360 is a wasteful number, since it uses less digits than its factorization.

5250735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The square root of 5250735360 is about 72461.9580193635. The cubic root of 5250735360 is about 1738.0944656692.

The spelling of 5250735360 in words is "five billion, two hundred fifty million, seven hundred thirty-five thousand, three hundred sixty".