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505039472 = 24724371211
BaseRepresentation
bin11110000110100…
…100101001110000
31022012022122220122
4132012210221300
52013242230342
6122040425412
715341523200
oct3606445160
91265278818
10505039472
1123a0996a3
12121178268
138082ab32
144b108400
152e5114d2
hex1e1a4a70

505039472 has 120 divisors (see below), whose sum is σ = 1186745472. Its totient is φ = 207446400.

The previous prime is 505039463. The next prime is 505039537. The reversal of 505039472 is 274930505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2393447 + ... + 2393657.

Almost surely, 2505039472 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 505039472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593372736).

505039472 is an abundant number, since it is smaller than the sum of its proper divisors (681706000).

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

505039472 is a wasteful number, since it uses less digits than its factorization.

505039472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 505039472 is about 22473.0832775567. The cubic root of 505039472 is about 796.3581715135.

Adding to 505039472 its reverse (274930505), we get a palindrome (779969977).

The spelling of 505039472 in words is "five hundred five million, thirty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 71 86 98 112 142 172 196 211 284 301 344 392 422 497 568 602 688 784 844 994 1136 1204 1477 1688 1988 2107 2408 2954 3053 3376 3479 3976 4214 4816 5908 6106 6958 7952 8428 9073 10339 11816 12212 13916 14981 16856 18146 20678 21371 23632 24424 27832 29962 33712 36292 41356 42742 48848 55664 59924 63511 72584 82712 85484 104867 119848 127022 145168 149597 165424 170968 209734 239696 254044 299194 341936 419468 444577 508088 598388 644183 734069 838936 889154 1016176 1196776 1288366 1468138 1677872 1778308 2393552 2576732 2936276 3556616 4509281 5153464 5872552 7113232 9018562 10306928 11745104 18037124 31564967 36074248 63129934 72148496 126259868 252519736 505039472