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498687840 = 25345723239
BaseRepresentation
bin11101101110010…
…101111101100000
31021202100222010000
4131232111331200
52010131002330
6121252340000
715233530260
oct3556257540
91252328100
10498687840
11236550612
1211b014600
137c415a81
144a3337a0
152dba9560
hex1db95f60

498687840 has 480 divisors, whose sum is σ = 2107607040. Its totient is φ = 108573696.

The previous prime is 498687823. The next prime is 498687841. The reversal of 498687840 is 48786894.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498687841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2086441 + ... + 2086679.

It is an arithmetic number, because the mean of its divisors is an integer number (4390848).

Almost surely, 2498687840 is an apocalyptic number.

498687840 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 498687840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053803520).

498687840 is an abundant number, since it is smaller than the sum of its proper divisors (1608919200).

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

498687840 is a wasteful number, since it uses less digits than its factorization.

498687840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 498687840 is about 22331.3197102187. The cubic root of 498687840 is about 793.0056096801.

The spelling of 498687840 in words is "four hundred ninety-eight million, six hundred eighty-seven thousand, eight hundred forty".