Search a number
-
+
643969152 = 2732559001
BaseRepresentation
bin100110011000100…
…011000010000000
31122212202000121100
4212120203002000
52304324003102
6143522254400
721646435041
oct4630430200
91585660540
10643969152
1130055a612
1215b7b7400
13a3551c48
14617508c8
153b805a1c
hex26623080

643969152 has 48 divisors (see below), whose sum is σ = 1853091630. Its totient is φ = 214656000.

The previous prime is 643969141. The next prime is 643969159. The reversal of 643969152 is 251969346.

643969152 is a `hidden beast` number, since 6 + 439 + 69 + 152 = 666.

It can be written as a sum of positive squares in only one way, i.e., 531948096 + 112021056 = 23064^2 + 10584^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 643969098 and 643969107.

It is not an unprimeable number, because it can be changed into a prime (643969159) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278349 + ... + 280652.

Almost surely, 2643969152 is an apocalyptic number.

It is an amenable number.

643969152 is an abundant number, since it is smaller than the sum of its proper divisors (1209122478).

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

643969152 is a wasteful number, since it uses less digits than its factorization.

643969152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559021 (or 559006 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 643969152 is about 25376.5472828752. The cubic root of 643969152 is about 863.5517221882.

The spelling of 643969152 in words is "six hundred forty-three million, nine hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 559001 1118002 1677003 2236004 3354006 4472008 5031009 6708012 8944016 10062018 13416024 17888032 20124036 26832048 35776064 40248072 53664096 71552128 80496144 107328192 160992288 214656384 321984576 643969152