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5040290025 = 325247332
BaseRepresentation
bin1001011000110110…
…01011100011101001
3111000021012021002100
410230123023203221
540310303240100
62152050524013
7235621521051
oct45433134351
914007167070
105040290025
112157126551
12b87b96609
136242c7444
1435b58c561
151e7764400
hex12c6cb8e9

5040290025 has 27 divisors (see below), whose sum is σ = 9029627269. Its totient is φ = 2687586720.

The previous prime is 5040289993. The next prime is 5040290069. The reversal of 5040290025 is 5200920405.

The square root of 5040290025 is 70995.

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 1125535401 + 3914754624 = 33549^2 + 62568^2 .

It is not a de Polignac number, because 5040290025 - 25 = 5040289993 is a prime.

It is a super-2 number, since 2×50402900252 = 50809047072229001250, which contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 1062559 + ... + 1067291.

Almost surely, 25040290025 is an apocalyptic number.

5040290025 is the 70995-th square number.

5040290025 is the 35498-th centered octagonal number.

It is an amenable number.

5040290025 is a deficient number, since it is larger than the sum of its proper divisors (3989337244).

5040290025 is an frugal number, since it uses more digits than its factorization.

5040290025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9482 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The cubic root of 5040290025 is about 1714.5566630513.

Multiplying 5040290025 by its product of nonzero digits (3600), we get a square (18145044090000 = 42597002).

The spelling of 5040290025 in words is "five billion, forty million, two hundred ninety thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 4733 14199 23665 42597 70995 118325 212985 354975 1064925 22401289 67203867 112006445 201611601 336019335 560032225 1008058005 1680096675 5040290025