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641676480 = 26352512663
BaseRepresentation
bin100110001111110…
…011010011000000
31122201102112122120
4212033303103000
52303232121410
6143401204240
721621105624
oct4617632300
91581375576
10641676480
112aa234045
1215aa90680
13a2c2b533
1461315184
153b501570
hex263f34c0

641676480 has 112 divisors (see below), whose sum is σ = 2046207744. Its totient is φ = 170368000.

The previous prime is 641676467. The next prime is 641676499. The reversal of 641676480 is 84676146.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239629 + ... + 242291.

It is an arithmetic number, because the mean of its divisors is an integer number (18269712).

Almost surely, 2641676480 is an apocalyptic number.

641676480 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 641676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023103872).

641676480 is an abundant number, since it is smaller than the sum of its proper divisors (1404531264).

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

641676480 is a wasteful number, since it uses less digits than its factorization.

641676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 641676480 is about 25331.3339561895. Note that the first 3 decimals coincide. The cubic root of 641676480 is about 862.5256921563.

The spelling of 641676480 in words is "six hundred forty-one million, six hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 251 320 480 502 753 960 1004 1255 1506 2008 2510 2663 3012 3765 4016 5020 5326 6024 7530 7989 8032 10040 10652 12048 13315 15060 15978 16064 20080 21304 24096 26630 30120 31956 39945 40160 42608 48192 53260 60240 63912 79890 80320 85216 106520 120480 127824 159780 170432 213040 240960 255648 319560 426080 511296 639120 668413 852160 1278240 1336826 2005239 2556480 2673652 3342065 4010478 5347304 6684130 8020956 10026195 10694608 13368260 16041912 20052390 21389216 26736520 32083824 40104780 42778432 53473040 64167648 80209560 106946080 128335296 160419120 213892160 320838240 641676480