Search a number
-
+
5734275625 = 541322332
BaseRepresentation
bin1010101011100101…
…00001101000101001
3112210122001101100201
411111302201220221
543220433310000
62345001232201
7262046352511
oct52562415051
915718041321
105734275625
112482938171
121140492661
1370500c100
143c57dc841
1523864996a
hex155ca1a29

5734275625 has 45 divisors (see below), whose sum is σ = 7792590729. Its totient is φ = 4216368000.

The previous prime is 5734275611. The next prime is 5734275641. The reversal of 5734275625 is 5265724375.

The square root of 5734275625 is 75725.

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

It can be written as a sum of positive squares in 22 ways, for example, as 1714208409 + 4020067216 = 41403^2 + 63404^2 .

It is not a de Polignac number, because 5734275625 - 219 = 5733751337 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24610509 + ... + 24610741.

Almost surely, 25734275625 is an apocalyptic number.

5734275625 is the 75725-th square number.

5734275625 is the 37863-rd centered octagonal number.

It is an amenable number.

5734275625 is a deficient number, since it is larger than the sum of its proper divisors (2058315104).

5734275625 is an frugal number, since it uses more digits than its factorization.

5734275625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 251 counting only the distinct ones).

The product of its digits is 1764000, while the sum is 46.

The cubic root of 5734275625 is about 1789.8893666733.

The spelling of 5734275625 in words is "five billion, seven hundred thirty-four million, two hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 233 325 625 845 1165 1625 3029 4225 5825 8125 15145 21125 29125 39377 54289 75725 105625 145625 196885 271445 378625 705757 984425 1357225 1893125 3528785 4922125 6786125 9174841 17643925 24610625 33930625 45874205 88219625 229371025 441098125 1146855125 5734275625