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7741360225 = 52175972
BaseRepresentation
bin1110011010110101…
…11100100001100001
3201222111201211211101
413031122330201201
5111323242011400
63320100114401
7362560322224
oct71532744141
921874654741
107741360225
113312883575
121600695a01
13964a97031
145361bd5bb
1530495b56a
hex1cd6bc861

7741360225 has 9 divisors (see below), whose sum is σ = 9599832217. Its totient is φ = 6192736240.

The previous prime is 7741360213. The next prime is 7741360259. The reversal of 7741360225 is 5220631477.

It is a happy number.

The square root of 7741360225 is 87985.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3729911329 + 4011448896 = 61073^2 + 63336^2 .

It is not a de Polignac number, because 7741360225 - 27 = 7741360097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 431127 + ... + 448723.

Almost surely, 27741360225 is an apocalyptic number.

7741360225 is the 87985-th square number.

7741360225 is the 43993-rd centered octagonal number.

It is an amenable number.

7741360225 is a deficient number, since it is larger than the sum of its proper divisors (1858471992).

7741360225 is an frugal number, since it uses more digits than its factorization.

7741360225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35204 (or 17602 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The cubic root of 7741360225 is about 1978.2101487555.

The spelling of 7741360225 in words is "seven billion, seven hundred forty-one million, three hundred sixty thousand, two hundred twenty-five".

Divisors: 1 5 25 17597 87985 439925 309654409 1548272045 7741360225