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505128372 = 223753831367
BaseRepresentation
bin11110000110111…
…010010110110100
31022012111011212020
4132012322112310
52013303101442
6122042353140
715342343320
oct3606722664
91265434766
10505128372
1123a14a471
121211bb7b0
138085c438
144b12c980
152e52c9ec
hex1e1ba5b4

505128372 has 96 divisors (see below), whose sum is σ = 1389975552. Its totient is φ = 139790976.

The previous prime is 505128367. The next prime is 505128413. The reversal of 505128372 is 273821505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368833 + ... + 370199.

It is an arithmetic number, because the mean of its divisors is an integer number (14478912).

Almost surely, 2505128372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505128372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694987776).

505128372 is an abundant number, since it is smaller than the sum of its proper divisors (884847180).

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

505128372 is a wasteful number, since it uses less digits than its factorization.

505128372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 505128372 is about 22475.0611122640. The cubic root of 505128372 is about 796.4048953122.

Adding to 505128372 its reverse (273821505), we get a palindrome (778949877).

The spelling of 505128372 in words is "five hundred five million, one hundred twenty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 83 84 106 159 166 212 249 318 332 371 498 581 636 742 996 1113 1162 1367 1484 1743 2226 2324 2734 3486 4101 4399 4452 5468 6972 8202 8798 9569 13197 16404 17596 19138 26394 28707 30793 38276 52788 57414 61586 72451 92379 113461 114828 123172 144902 184758 217353 226922 289804 340383 369516 434706 453844 507157 680766 794227 869412 1014314 1361532 1521471 1588454 2028628 2382681 3042942 3176908 4765362 6013433 6085884 9530724 12026866 18040299 24053732 36080598 42094031 72161196 84188062 126282093 168376124 252564186 505128372