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5202592641 = 32240432
BaseRepresentation
bin1001101100001100…
…10100001110000001
3111102120121002102100
410312012110032001
541123330431031
62220125341013
7242632210401
oct46606241601
914376532370
105202592641
11222a800944
121012407769
1364bb12cac
14374d5a801
15206b23de6
hex136194381

5202592641 has 9 divisors (see below), whose sum is σ = 7515168609. Its totient is φ = 3468250836.

The previous prime is 5202592613. The next prime is 5202592649. The reversal of 5202592641 is 1462952025.

The square root of 5202592641 is 72129.

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

5202592641 is a `hidden beast` number, since 5 + 2 + 0 + 2 + 5 + 9 + 2 + 641 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 5202592641 - 25 = 5202592609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5202592596 and 5202592605.

It is not an unprimeable number, because it can be changed into a prime (5202592649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 204366 + ... + 228408.

Almost surely, 25202592641 is an apocalyptic number.

5202592641 is the 72129-th square number.

5202592641 is the 36065-th centered octagonal number.

It is an amenable number.

5202592641 is a deficient number, since it is larger than the sum of its proper divisors (2312575968).

5202592641 is an frugal number, since it uses more digits than its factorization.

5202592641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48092 (or 24046 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The cubic root of 5202592641 is about 1732.7660919479.

Multiplying 5202592641 by its sum of digits (36), we get a square (187293335076 = 4327742).

The spelling of 5202592641 in words is "five billion, two hundred two million, five hundred ninety-two thousand, six hundred forty-one".

Divisors: 1 3 9 24043 72129 216387 578065849 1734197547 5202592641