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538240000 = 21054292
BaseRepresentation
bin100000000101001…
…110010000000000
31101111210102110211
4200011032100000
52100242140000
6125224203504
716223651554
oct4005162000
91344712424
10538240000
11256905751
12130309594
138768380c
14516ab864
15323bd7ba
hex2014e400

538240000 has 165 divisors, whose sum is σ = 1392473797. Its totient is φ = 207872000.

The previous prime is 538239967. The next prime is 538240013. The reversal of 538240000 is 42835.

The square root of 538240000 is 23200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 402564096 + 135675904 = 20064^2 + 11648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18559986 + ... + 18560014.

Almost surely, 2538240000 is an apocalyptic number.

538240000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

538240000 is the 23200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538240000

538240000 is an abundant number, since it is smaller than the sum of its proper divisors (854233797).

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

538240000 is an frugal number, since it uses more digits than its factorization.

538240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The cubic root of 538240000 is about 813.4396230047.

Adding to 538240000 its reverse (42835), we get a palindrome (538282835).

The spelling of 538240000 in words is "five hundred thirty-eight million, two hundred forty thousand".