Search a number
-
+
7241329216 = 261129672
BaseRepresentation
bin1101011111001110…
…11110101001000000
3200200122211122020101
412233213132221000
5104312240013331
63154314452144
7344306165662
oct65747365100
920618748211
107241329216
1130865a5900
1214a1134054
138b5300ab4
144c9a1a532
152c5ad9061
hex1af9dea40

7241329216 has 63 divisors (see below), whose sum is σ = 15810938787. Its totient is φ = 3288109440.

The previous prime is 7241329189. The next prime is 7241329219. The reversal of 7241329216 is 6129231427.

The square root of 7241329216 is 85096.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7241329219) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7487965 + ... + 7488931.

Almost surely, 27241329216 is an apocalyptic number.

7241329216 is the 85096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7241329216

7241329216 is an abundant number, since it is smaller than the sum of its proper divisors (8569609571).

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

7241329216 is an frugal number, since it uses more digits than its factorization.

7241329216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 980 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The cubic root of 7241329216 is about 1934.6664369928. Note that the first 3 decimals are identical.

The spelling of 7241329216 in words is "seven billion, two hundred forty-one million, three hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 967 968 1934 1936 3868 3872 7736 7744 10637 15472 21274 30944 42548 61888 85096 117007 170192 234014 340384 468028 680768 935089 936056 1870178 1872112 3740356 3744224 7480712 7488448 10285979 14961424 20571958 29922848 41143916 59845696 82287832 113145769 164575664 226291538 329151328 452583076 658302656 905166152 1810332304 3620664608 7241329216