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518052928 = 267921297
BaseRepresentation
bin11110111000001…
…101110001000000
31100002210211000111
4132320031301000
52030110143203
6123223401104
715560243251
oct3670156100
91302724014
10518052928
11246477918
121255b3194
13834361c3
144cb34b28
153073226d
hex1ee0dc40

518052928 has 42 divisors (see below), whose sum is σ = 1041991566. Its totient is φ = 255550464.

The previous prime is 518052923. The next prime is 518052959. The reversal of 518052928 is 829250815.

It can be written as a sum of positive squares in only one way, i.e., 517653504 + 399424 = 22752^2 + 632^2 .

It is not an unprimeable number, because it can be changed into a prime (518052923) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 398776 + ... + 400072.

It is an arithmetic number, because the mean of its divisors is an integer number (24809323).

Almost surely, 2518052928 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 518052928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520995783).

518052928 is an abundant number, since it is smaller than the sum of its proper divisors (523938638).

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

518052928 is an equidigital number, since it uses as much as digits as its factorization.

518052928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 518052928 is about 22760.7760851866. The cubic root of 518052928 is about 803.1402242780.

The spelling of 518052928 in words is "five hundred eighteen million, fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 79 158 316 632 1264 1297 2528 2594 5056 5188 6241 10376 12482 20752 24964 41504 49928 83008 99856 102463 199712 204926 399424 409852 819704 1639408 3278816 6557632 8094577 16189154 32378308 64756616 129513232 259026464 518052928