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641305152 = 26325212137
BaseRepresentation
bin100110001110011…
…000101001000000
31122200201200021200
4212032120221000
52303133231102
6143345221200
721615001215
oct4616305100
91580650250
10641305152
112aa000064
1215a931800
13a2b2b507
1461259b0c
153b47b51c
hex26398a40

641305152 has 84 divisors (see below), whose sum is σ = 1842575436. Its totient is φ = 213258240.

The previous prime is 641305151. The next prime is 641305163. The reversal of 641305152 is 251503146.

641305152 is a `hidden beast` number, since 641 + 3 + 0 + 5 + 15 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92621376 + 548683776 = 9624^2 + 23424^2 .

It is a super-2 number, since 2×6413051522 = 822544595963486208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641305151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299028 + ... + 301164.

Almost surely, 2641305152 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 641305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921287718).

641305152 is an abundant number, since it is smaller than the sum of its proper divisors (1201270284).

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

641305152 is a wasteful number, since it uses less digits than its factorization.

641305152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 641305152 is about 25324.0034749642. The cubic root of 641305152 is about 862.3592834076.

Adding to 641305152 its reverse (251503146), we get a palindrome (892808298).

The spelling of 641305152 in words is "six hundred forty-one million, three hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 521 576 1042 1563 2084 2137 3126 4168 4274 4689 6252 6411 8336 8548 9378 12504 12822 16672 17096 18756 19233 25008 25644 33344 34192 37512 38466 50016 51288 68384 75024 76932 100032 102576 136768 150048 153864 205152 300096 307728 410304 615456 1113377 1230912 2226754 3340131 4453508 6680262 8907016 10020393 13360524 17814032 20040786 26721048 35628064 40081572 53442096 71256128 80163144 106884192 160326288 213768384 320652576 641305152