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505468832 = 25114730553
BaseRepresentation
bin11110001000001…
…101011110100000
31022020010110212212
4132020031132200
52013400000312
6122053541252
715345262031
oct3610153640
91266113785
10505468832
1123a362240
12121344828
138094b3ab
144b1baa88
152e598822
hex1e20d7a0

505468832 has 48 divisors (see below), whose sum is σ = 1108743552. Its totient is φ = 224862720.

The previous prime is 505468829. The next prime is 505468841. The reversal of 505468832 is 238864505.

It is a self number, because there is not a number n which added to its sum of digits gives 505468832.

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 7 ways as a sum of consecutive naturals, for example, 1268 + ... + 31820.

It is an arithmetic number, because the mean of its divisors is an integer number (23098824).

Almost surely, 2505468832 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 505468832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554371776).

505468832 is an abundant number, since it is smaller than the sum of its proper divisors (603274720).

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

505468832 is a wasteful number, since it uses less digits than its factorization.

505468832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30621 (or 30613 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The square root of 505468832 is about 22482.6340093860. The cubic root of 505468832 is about 796.5837825884.

The spelling of 505468832 in words is "five hundred five million, four hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 176 188 352 376 517 752 1034 1504 2068 4136 8272 16544 30553 61106 122212 244424 336083 488848 672166 977696 1344332 1435991 2688664 2871982 5377328 5743964 10754656 11487928 15795901 22975856 31591802 45951712 63183604 126367208 252734416 505468832