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641482080 = 253517127619
BaseRepresentation
bin100110001111000…
…011110101100000
31122201001122222120
4212033003311200
52303204411310
6143353104240
721616336101
oct4617036540
91581048876
10641482080
112aa110a88
1215a9b8080
13a2b90bc5
14612a43a8
153b4b3b70
hex263c3d60

641482080 has 192 divisors, whose sum is σ = 2159861760. Its totient is φ = 159473664.

The previous prime is 641482073. The next prime is 641482091. The reversal of 641482080 is 80284146.

It is a super-2 number, since 2×6414820802 = 822998517922252800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1036011 + ... + 1036629.

It is an arithmetic number, because the mean of its divisors is an integer number (11249280).

Almost surely, 2641482080 is an apocalyptic number.

641482080 is a gapful number since it is divisible by the number (60) 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 641482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079930880).

641482080 is an abundant number, since it is smaller than the sum of its proper divisors (1518379680).

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

641482080 is a wasteful number, since it uses less digits than its factorization.

641482080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 641482080 is about 25327.4965205802. The cubic root of 641482080 is about 862.4385807976.

The spelling of 641482080 in words is "six hundred forty-one million, four hundred eighty-two thousand, eighty".