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641528496 = 2432737103167
BaseRepresentation
bin100110001111001…
…111001010110000
31122201011000122200
4212033033022300
52303212402441
6143354103200
721616621320
oct4617171260
91581130580
10641528496
112aa142944
1215aa1ab00
13a2ba907b
14612b7280
153b4c27b6
hex263cf2b0

641528496 has 240 divisors, whose sum is σ = 2140529664. Its totient is φ = 175550976.

The previous prime is 641528491. The next prime is 641528519. The reversal of 641528496 is 694825146.

641528496 is a `hidden beast` number, since 6 + 4 + 152 + 8 + 496 = 666.

641528496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6415284962 = 823117622360044032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (641528491) 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, 3841405 + ... + 3841571.

Almost surely, 2641528496 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 641528496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070264832).

641528496 is an abundant number, since it is smaller than the sum of its proper divisors (1499001168).

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

641528496 is a wasteful number, since it uses less digits than its factorization.

641528496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 319 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 641528496 is about 25328.4128203881. The cubic root of 641528496 is about 862.4593815780.

The spelling of 641528496 in words is "six hundred forty-one million, five hundred twenty-eight thousand, four hundred ninety-six".