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500190768 = 243371121367
BaseRepresentation
bin11101110100000…
…100111000110000
31021212012022202000
4131310010320300
52011022101033
6121344454000
715252360060
oct3564047060
91255168660
10500190768
11237387800
1211b61a300
137c820b8c
144a6053a0
152dda4a13
hex1dd04e30

500190768 has 240 divisors, whose sum is σ = 1804884480. Its totient is φ = 129824640.

The previous prime is 500190767. The next prime is 500190781. The reversal of 500190768 is 867091005.

500190768 is a `hidden beast` number, since 500 + 1 + 90 + 7 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (500190767) by changing a digit.

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, 365221 + ... + 366587.

It is an arithmetic number, because the mean of its divisors is an integer number (7520352).

Almost surely, 2500190768 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 500190768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902442240).

500190768 is an abundant number, since it is smaller than the sum of its proper divisors (1304693712).

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

500190768 is a wasteful number, since it uses less digits than its factorization.

500190768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 500190768 is about 22364.9450703551. The cubic root of 500190768 is about 793.8014549238.

The spelling of 500190768 in words is "five hundred million, one hundred ninety thousand, seven hundred sixty-eight".