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52229529 = 34112732
BaseRepresentation
bin1100011100111…
…1010110011001
310122021112110000
43013033112121
5101332321104
65103243213
71202641452
oct307172631
9118245400
1052229529
1127533900
12155a9509
13aa89161
146d18129
1548ba639
hex31cf599

52229529 has 45 divisors (see below), whose sum is σ = 86950479. Its totient is φ = 31220640.

The previous prime is 52229521. The next prime is 52229587. The reversal of 52229529 is 92592225.

The square root of 52229529 is 7227.

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., 29648025 + 22581504 = 5445^2 + 4752^2 .

It is not a de Polignac number, because 52229529 - 23 = 52229521 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (32400) is a multiple of the sum of its prime factors (180).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52229493 and 52229502.

It is not an unprimeable number, because it can be changed into a prime (52229521) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 715437 + ... + 715509.

Almost surely, 252229529 is an apocalyptic number.

52229529 is the 7227-th square number.

52229529 is the 3614-th centered octagonal number.

It is an amenable number.

52229529 is a deficient number, since it is larger than the sum of its proper divisors (34720950).

52229529 is an equidigital number, since it uses as much as digits as its factorization.

52229529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 87 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The cubic root of 52229529 is about 373.7994888290.

Multiplying 52229529 by its sum of digits (36), we get a square (1880263044 = 433622).

Multiplying 52229529 by its product of digits (32400), we get a square (1692236739600 = 13008602).

The spelling of 52229529 in words is "fifty-two million, two hundred twenty-nine thousand, five hundred twenty-nine".

Divisors: 1 3 9 11 27 33 73 81 99 121 219 297 363 657 803 891 1089 1971 2409 3267 5329 5913 7227 8833 9801 15987 21681 26499 47961 58619 65043 79497 143883 175857 238491 431649 527571 644809 715473 1582713 1934427 4748139 5803281 17409843 52229529