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2505530052 = 2232292399933
BaseRepresentation
bin1001010101010111…
…0101101011000100
320110121121010002100
42111111311223010
520112403430202
61052342112100
7116042440224
oct22525655304
96417533070
102505530052
1110763408a3
1259b11b630
1330c11757c
1419aa90084
15e9e6e41c
hex95575ac4

2505530052 has 36 divisors (see below), whose sum is σ = 6551819820. Its totient is φ = 806377152.

The previous prime is 2505530051. The next prime is 2505530087. The reversal of 2505530052 is 2500355052.

2505530052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2063521476 + 442008576 = 45426^2 + 21024^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 2505529998 and 2505530025.

It is not an unprimeable number, because it can be changed into a prime (2505530051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1198923 + ... + 1201010.

It is an arithmetic number, because the mean of its divisors is an integer number (181994995).

Almost surely, 22505530052 is an apocalyptic number.

It is an amenable number.

2505530052 is an abundant number, since it is smaller than the sum of its proper divisors (4046289768).

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

2505530052 is a wasteful number, since it uses less digits than its factorization.

2505530052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399972 (or 2399967 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 2505530052 is about 50055.2699723016. The cubic root of 2505530052 is about 1358.2087960329.

The spelling of 2505530052 in words is "two billion, five hundred five million, five hundred thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 2399933 4799866 7199799 9599732 14399598 21599397 28799196 43198794 69598057 86397588 139196114 208794171 278392228 417588342 626382513 835176684 1252765026 2505530052