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505231929 = 32371517213
BaseRepresentation
bin11110000111010…
…011101000111001
31022012200102220200
4132013103220321
52013314410204
6122044512413
715343254246
oct3607235071
91265612820
10505231929
1123a210254
1212124b709
1380897607
144b1585cd
152e54d539
hex1e1d3a39

505231929 has 12 divisors (see below), whose sum is σ = 749503716. Its totient is φ = 327717792.

The previous prime is 505231901. The next prime is 505231933. The reversal of 505231929 is 929132505.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 344956329 + 160275600 = 18573^2 + 12660^2 .

It is not a de Polignac number, because 505231929 - 217 = 505100857 is a prime.

It is a super-3 number, since 3×5052319293 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 505231893 and 505231902.

It is not an unprimeable number, because it can be changed into a prime (505231949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 758274 + ... + 758939.

It is an arithmetic number, because the mean of its divisors is an integer number (62458643).

Almost surely, 2505231929 is an apocalyptic number.

It is an amenable number.

505231929 is a deficient number, since it is larger than the sum of its proper divisors (244271787).

505231929 is a wasteful number, since it uses less digits than its factorization.

505231929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517256 (or 1517253 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 505231929 is about 22477.3648144083. The cubic root of 505231929 is about 796.4593155817.

The spelling of 505231929 in words is "five hundred five million, two hundred thirty-one thousand, nine hundred twenty-nine".

Divisors: 1 3 9 37 111 333 1517213 4551639 13654917 56136881 168410643 505231929