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498505728 = 2113767173
BaseRepresentation
bin11101101101101…
…001100000000000
31021202000201022010
4131231221200000
52010104140403
6121244412520
715232141320
oct3555514000
91252021263
10498505728
11236436806
1211ab47140
137c380c06
144a2c7280
152db70603
hex1db69800

498505728 has 192 divisors, whose sum is σ = 1550465280. Its totient is φ = 139493376.

The previous prime is 498505687. The next prime is 498505729. The reversal of 498505728 is 827505894.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498505729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2881450 + ... + 2881622.

It is an arithmetic number, because the mean of its divisors is an integer number (8075340).

Almost surely, 2498505728 is an apocalyptic number.

498505728 is a gapful number since it is divisible by the number (48) 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 498505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775232640).

498505728 is an abundant number, since it is smaller than the sum of its proper divisors (1051959552).

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

498505728 is a wasteful number, since it uses less digits than its factorization.

498505728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 498505728 is about 22327.2418359277. The cubic root of 498505728 is about 792.9090673752.

The spelling of 498505728 in words is "four hundred ninety-eight million, five hundred five thousand, seven hundred twenty-eight".