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5735487289 = 723123492
BaseRepresentation
bin1010101011101110…
…01001011100111001
3112210201022221110011
411111313021130321
543221241043124
62345043221521
7262062560200
oct52567113471
915721287404
105735487289
112483595544
1211409778a1
1370534477c
143c5a36237
152387d8994
hex155dc9739

5735487289 has 27 divisors (see below), whose sum is σ = 6913868751. Its totient is φ = 4743915120.

The previous prime is 5735487169. The next prime is 5735487313. The reversal of 5735487289 is 9827845375.

It is a happy number.

The square root of 5735487289 is 75733.

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

It can be written as a sum of positive squares in only one way, i.e., 4209803689 + 1525683600 = 64883^2 + 39060^2 .

It is not a de Polignac number, because 5735487289 - 225 = 5701932857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5735487389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16433887 + ... + 16434235.

It is an arithmetic number, because the mean of its divisors is an integer number (256069213).

Almost surely, 25735487289 is an apocalyptic number.

5735487289 is the 75733-rd square number.

5735487289 is the 37867-th centered octagonal number.

It is an amenable number.

5735487289 is a deficient number, since it is larger than the sum of its proper divisors (1178381462).

5735487289 is an frugal number, since it uses more digits than its factorization.

5735487289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 387 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 58.

The cubic root of 5735487289 is about 1790.0154268720.

The spelling of 5735487289 in words is "five billion, seven hundred thirty-five million, four hundred eighty-seven thousand, two hundred eighty-nine".

Divisors: 1 7 31 49 217 349 961 1519 2443 6727 10819 17101 47089 75733 121801 335389 530131 852607 2347723 3775831 5968249 16434061 26430817 117050761 185015719 819355327 5735487289