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6852031729 = 232592612
BaseRepresentation
bin1100110000110100…
…11011010011110001
3122200112022021110221
412120122123103301
5103013110003404
63051530453041
7331541210614
oct63032332361
918615267427
106852031729
1129a687a944
1213b2894181
13852768a5a
1449004017b
152a183b954
hex19869b4f1

6852031729 has 27 divisors (see below), whose sum is σ = 7407768459. Its totient is φ = 6337407120.

The previous prime is 6852031727. The next prime is 6852031751. The reversal of 6852031729 is 9271302586.

The square root of 6852031729 is 82777.

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., 222815329 + 6629216400 = 14927^2 + 81420^2 .

It is not a de Polignac number, because 6852031729 - 21 = 6852031727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6852031721) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 112328359 + ... + 112328419.

Almost surely, 26852031729 is an apocalyptic number.

6852031729 is the 82777-th square number.

6852031729 is the 41389-th centered octagonal number.

It is an amenable number.

6852031729 is a deficient number, since it is larger than the sum of its proper divisors (555736730).

6852031729 is an frugal number, since it uses more digits than its factorization.

6852031729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The cubic root of 6852031729 is about 1899.3563589941.

The spelling of 6852031729 in words is "six billion, eight hundred fifty-two million, thirty-one thousand, seven hundred twenty-nine".

Divisors: 1 23 59 61 529 1357 1403 3481 3599 3721 31211 32269 80063 82777 85583 212341 219539 1841449 1903871 1968409 4883843 5049397 12952801 112328389 116136131 297914423 6852031729