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500144400 = 243252789223
BaseRepresentation
bin11101110011111…
…001100100010000
31021212002222010200
4131303321210100
52011014110100
6121343455200
715252104640
oct3563714420
91255088120
10500144400
11237355988
1211b5b7500
137c805a42
144a5d2520
152dd95e00
hex1dcf9910

500144400 has 360 divisors, whose sum is σ = 2014871040. Its totient is φ = 112527360.

The previous prime is 500144399. The next prime is 500144401. The reversal of 500144400 is 4441005.

500144400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (500144399) and next prime (500144401).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (500144401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2242689 + ... + 2242911.

It is an arithmetic number, because the mean of its divisors is an integer number (5596864).

Almost surely, 2500144400 is an apocalyptic number.

500144400 is a gapful number since it is divisible by the number (50) 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 500144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007435520).

500144400 is an abundant number, since it is smaller than the sum of its proper divisors (1514726640).

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

500144400 is a wasteful number, since it uses less digits than its factorization.

500144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 500144400 is about 22363.9084240658. The cubic root of 500144400 is about 793.7769255338.

Adding to 500144400 its reverse (4441005), we get a palindrome (504585405).

The spelling of 500144400 in words is "five hundred million, one hundred forty-four thousand, four hundred".