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498161664 = 2113571113
BaseRepresentation
bin11101101100010…
…101100000000000
31021201101020100000
4131230111200000
52010012133124
6121233200000
715226206240
oct3554254000
91251336300
10498161664
11236221260
1211aa00000
137c290420
144a237b20
152db036c9
hex1db15800

498161664 has 576 divisors, whose sum is σ = 2003339520. Its totient is φ = 119439360.

The previous prime is 498161647. The next prime is 498161687. The reversal of 498161664 is 466161894.

498161664 divided by its product of digits (248832) gives a palindrome (2002).

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (248832) is a multiple of the sum of its prime divisors (36).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38320122 + ... + 38320134.

It is an arithmetic number, because the mean of its divisors is an integer number (3478020).

Almost surely, 2498161664 is an apocalyptic number.

498161664 is a gapful number since it is divisible by the number (44) 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 498161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001669760).

498161664 is an abundant number, since it is smaller than the sum of its proper divisors (1505177856).

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

498161664 is a wasteful number, since it uses less digits than its factorization.

498161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 498161664 is about 22319.5354790372. The cubic root of 498161664 is about 792.7266059121.

The spelling of 498161664 in words is "four hundred ninety-eight million, one hundred sixty-one thousand, six hundred sixty-four".