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2404315525 = 52176019413
BaseRepresentation
bin1000111101001110…
…1111000110000101
320012120010212212011
42033103233012011
514411001044100
61034324454221
7113403226153
oct21723570605
96176125764
102404315525
11102419a927
1257124a371
132c416a011
1418b4643d3
15e1129bba
hex8f4ef185

2404315525 has 24 divisors (see below), whose sum is σ = 3162313224. Its totient is φ = 1807104000.

The previous prime is 2404315493. The next prime is 2404315541. The reversal of 2404315525 is 5255134042.

It can be written as a sum of positive squares in 12 ways, for example, as 70845889 + 2333469636 = 8417^2 + 48306^2 .

It is not a de Polignac number, because 2404315525 - 25 = 2404315493 is a prime.

It is a Duffinian number.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 250719 + ... + 260131.

It is an arithmetic number, because the mean of its divisors is an integer number (131763051).

Almost surely, 22404315525 is an apocalyptic number.

2404315525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2404315525 is a deficient number, since it is larger than the sum of its proper divisors (757997699).

2404315525 is a wasteful number, since it uses less digits than its factorization.

2404315525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10041 (or 10036 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 2404315525 is about 49033.8202162548. The cubic root of 2404315525 is about 1339.6679070483.

Adding to 2404315525 its reverse (5255134042), we get a palindrome (7659449567).

The spelling of 2404315525 in words is "two billion, four hundred four million, three hundred fifteen thousand, five hundred twenty-five".

Divisors: 1 5 17 25 85 425 601 3005 9413 10217 15025 47065 51085 160021 235325 255425 800105 4000525 5657213 28286065 96172621 141430325 480863105 2404315525