Search a number
-
+
729794952 = 233210136041
BaseRepresentation
bin101011011111111…
…100100110001000
31212212020102110200
4223133330212020
52443311414302
6200230012200
724041104035
oct5337744610
91785212420
10729794952
11344a4a827
121844a7060
13b8271c43
146ccd238c
154410a81c
hex2b7fc988

729794952 has 24 divisors (see below), whose sum is σ = 1976528190. Its totient is φ = 243264960.

The previous prime is 729794951. The next prime is 729794987. The reversal of 729794952 is 259497927.

It can be written as a sum of positive squares in only one way, i.e., 722856996 + 6937956 = 26886^2 + 2634^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (729794951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5067949 + ... + 5068092.

Almost surely, 2729794952 is an apocalyptic number.

729794952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

729794952 is an abundant number, since it is smaller than the sum of its proper divisors (1246733238).

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

729794952 is a wasteful number, since it uses less digits than its factorization.

729794952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10136053 (or 10136046 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 729794952 is about 27014.7173222301. The cubic root of 729794952 is about 900.3270219004.

The spelling of 729794952 in words is "seven hundred twenty-nine million, seven hundred ninety-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 10136041 20272082 30408123 40544164 60816246 81088328 91224369 121632492 182448738 243264984 364897476 729794952