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498389760 = 28345111923
BaseRepresentation
bin11101101101001…
…101001100000000
31021201210211020000
4131231031030000
52010041433020
6121242120000
715231146241
oct3555151400
91251724200
10498389760
11236367670
1211aab0000
137c3401ab
144a296cc8
152db4b090
hex1db4d300

498389760 has 720 divisors, whose sum is σ = 2136879360. Its totient is φ = 109486080.

The previous prime is 498389713. The next prime is 498389767. The reversal of 498389760 is 67983894.

498389760 is a `hidden beast` number, since 498 + 3 + 8 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 498389697 and 498389706.

It is not an unprimeable number, because it can be changed into a prime (498389767) 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 79 ways as a sum of consecutive naturals, for example, 21669109 + ... + 21669131.

It is an arithmetic number, because the mean of its divisors is an integer number (2967888).

Almost surely, 2498389760 is an apocalyptic number.

498389760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068439680).

498389760 is an abundant number, since it is smaller than the sum of its proper divisors (1638489600).

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

498389760 is a wasteful number, since it uses less digits than its factorization.

498389760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 498389760 is about 22324.6446780234. The cubic root of 498389760 is about 792.8475774699.

The spelling of 498389760 in words is "four hundred ninety-eight million, three hundred eighty-nine thousand, seven hundred sixty".