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641605984 = 25197189167
BaseRepresentation
bin100110001111100…
…010000101100000
31122201021221221121
4212033202011200
52303222342414
6143355502024
721620363245
oct4617420540
91581257847
10641605984
112aa196088
1215aa57914
13a2c05416
14612d75cc
153b4da724
hex263e2160

641605984 has 96 divisors (see below), whose sum is σ = 1371686400. Its totient is φ = 294497280.

The previous prime is 641605981. The next prime is 641606033. The reversal of 641605984 is 489506146.

It is a self number, because there is not a number n which added to its sum of digits gives 641605984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641605981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3841869 + ... + 3842035.

It is an arithmetic number, because the mean of its divisors is an integer number (14288400).

Almost surely, 2641605984 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 641605984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685843200).

641605984 is an abundant number, since it is smaller than the sum of its proper divisors (730080416).

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

641605984 is a wasteful number, since it uses less digits than its factorization.

641605984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 641605984 is about 25329.9424397293. The cubic root of 641605984 is about 862.4941046716.

The spelling of 641605984 in words is "six hundred forty-one million, six hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 71 76 89 142 152 167 178 284 304 334 356 568 608 668 712 1136 1336 1349 1424 1691 2272 2672 2698 2848 3173 3382 5344 5396 6319 6346 6764 10792 11857 12638 12692 13528 14863 21584 23714 25276 25384 27056 29726 43168 47428 50552 50768 54112 59452 94856 101104 101536 118904 120061 189712 202208 225283 237808 240122 282397 379424 450566 475616 480244 564794 901132 960488 1055273 1129588 1802264 1920976 2110546 2259176 3604528 3841952 4221092 4518352 7209056 8442184 9036704 16884368 20050187 33768736 40100374 80200748 160401496 320802992 641605984