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500250240 = 27325719653
BaseRepresentation
bin11101110100010…
…011011010000000
31021212022100022200
4131310103122000
52011031001430
6121350033200
715253025340
oct3564233200
91255270280
10500250240
11237418456
1211b648800
137c841c79
144a61cd20
152ddb7460
hex1dd13680

500250240 has 384 divisors, whose sum is σ = 2081289600. Its totient is φ = 108158976.

The previous prime is 500250229. The next prime is 500250263. The reversal of 500250240 is 42052005.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 765754 + ... + 766406.

It is an arithmetic number, because the mean of its divisors is an integer number (5420025).

Almost surely, 2500250240 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 500250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040644800).

500250240 is an abundant number, since it is smaller than the sum of its proper divisors (1581039360).

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

500250240 is a wasteful number, since it uses less digits than its factorization.

500250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 500250240 is about 22366.2746115664. The cubic root of 500250240 is about 793.8329143137.

The spelling of 500250240 in words is "five hundred million, two hundred fifty thousand, two hundred forty".