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538784064 = 263271319541
BaseRepresentation
bin100000000111010…
…011000101000000
31101112211001210100
4200013103011000
52100412042224
6125244002400
716231406010
oct4007230500
91345731710
10538784064
11257147495
12130530400
1387814350
14517adc40
1532479ac9
hex201d3140

538784064 has 336 divisors, whose sum is σ = 2004446080. Its totient is φ = 134369280.

The previous prime is 538784063. The next prime is 538784087. The reversal of 538784064 is 460487835.

538784064 is a `hidden beast` number, since 538 + 78 + 40 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538784063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995634 + ... + 996174.

Almost surely, 2538784064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002223040).

538784064 is an abundant number, since it is smaller than the sum of its proper divisors (1465662016).

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

538784064 is a wasteful number, since it uses less digits than its factorization.

538784064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 538784064 is about 23211.7225556399. The cubic root of 538784064 is about 813.7136111769.

The spelling of 538784064 in words is "five hundred thirty-eight million, seven hundred eighty-four thousand, sixty-four".