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538852961 = 17531733457
BaseRepresentation
bin100000000111100…
…011111001100001
31101112221120022002
4200013203321201
52100421243321
6125245253345
716232113613
oct4007437141
91345846262
10538852961
11257194229
12130564255
138783980a
14517cadb3
153249020b
hex201e3e61

538852961 has 16 divisors (see below), whose sum is σ = 584844624. Its totient is φ = 494567424.

The previous prime is 538852957. The next prime is 538852967. The reversal of 538852961 is 169258835.

It can be written as a sum of positive squares in 8 ways, for example, as 15358561 + 523494400 = 3919^2 + 22880^2 .

It is a cyclic number.

It is not a de Polignac number, because 538852961 - 22 = 538852957 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (538852967) 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 15 ways as a sum of consecutive naturals, for example, 154145 + ... + 157601.

It is an arithmetic number, because the mean of its divisors is an integer number (36552789).

Almost surely, 2538852961 is an apocalyptic number.

It is an amenable number.

538852961 is a deficient number, since it is larger than the sum of its proper divisors (45991663).

538852961 is a wasteful number, since it uses less digits than its factorization.

538852961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700.

The product of its digits is 518400, while the sum is 47.

The square root of 538852961 is about 23213.2066074465. The cubic root of 538852961 is about 813.7482942352.

The spelling of 538852961 in words is "five hundred thirty-eight million, eight hundred fifty-two thousand, nine hundred sixty-one".

Divisors: 1 17 53 173 901 2941 3457 9169 58769 155873 183221 598061 3114757 10167037 31697233 538852961