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500459040 = 253353137101
BaseRepresentation
bin11101110101000…
…110011000100000
31021212200221202000
4131311012120200
52011104142130
6121354324000
715254555154
oct3565063040
91255627660
10500459040
11237550314
1211b729600
137c8b6013
144a675064
152de09260
hex1dd46620

500459040 has 384 divisors, whose sum is σ = 1875363840. Its totient is φ = 124416000.

The previous prime is 500459021. The next prime is 500459051. The reversal of 500459040 is 40954005.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 500458995 and 500459013.

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, 4954990 + ... + 4955090.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2500459040 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 500459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937681920).

500459040 is an abundant number, since it is smaller than the sum of its proper divisors (1374904800).

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

500459040 is a wasteful number, since it uses less digits than its factorization.

500459040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 500459040 is about 22370.9418666269. The cubic root of 500459040 is about 793.9433452164.

The spelling of 500459040 in words is "five hundred million, four hundred fifty-nine thousand, forty".