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505922536 = 237231073671
BaseRepresentation
bin11110001001111…
…100001111101000
31022020222112020201
4132021330033220
52014004010121
6122111401544
715352161550
oct3611741750
91266875221
10505922536
1123a6420a9
121215232b4
1380a79a62
144b298160
152e637e91
hex1e27c3e8

505922536 has 64 divisors (see below), whose sum is σ = 1142138880. Its totient is φ = 205402560.

The previous prime is 505922491. The next prime is 505922537. The reversal of 505922536 is 635229505.

It is a super-2 number, since 2×5059225362 = 511915224865342592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505922495 and 505922504.

It is not an unprimeable number, because it can be changed into a prime (505922537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135981 + ... + 139651.

It is an arithmetic number, because the mean of its divisors is an integer number (17845920).

Almost surely, 2505922536 is an apocalyptic number.

505922536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505922536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571069440).

505922536 is an abundant number, since it is smaller than the sum of its proper divisors (636216344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505922536 is a wasteful number, since it uses less digits than its factorization.

505922536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 37.

The square root of 505922536 is about 22492.7218450769. The cubic root of 505922536 is about 796.8220466486.

The spelling of 505922536 in words is "five hundred five million, nine hundred twenty-two thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 107 161 184 214 322 428 644 749 856 1288 1498 2461 2996 3671 4922 5992 7342 9844 14684 17227 19688 25697 29368 34454 51394 68908 84433 102788 137816 168866 205576 337732 392797 591031 675464 785594 1182062 1571188 2364124 2749579 3142376 4728248 5499158 9034331 10998316 18068662 21996632 36137324 63240317 72274648 126480634 252961268 505922536