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507316288 = 2641193337
BaseRepresentation
bin11110001111010…
…000100001000000
31022100121100010011
4132033100201000
52014333110123
6122201314304
715400055143
oct3617204100
91270540104
10507316288
11240404266
12121a95994
138114726b
144b53c05a
152e810e0d
hex1e3d0840

507316288 has 28 divisors (see below), whose sum is σ = 1031264892. Its totient is φ = 247470080.

The previous prime is 507316273. The next prime is 507316289. The reversal of 507316288 is 882613705.

It can be written as a sum of positive squares in 2 ways, for example, as 53114944 + 454201344 = 7288^2 + 21312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 507316288.

It is not an unprimeable number, because it can be changed into a prime (507316289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94045 + ... + 99292.

It is an arithmetic number, because the mean of its divisors is an integer number (36830889).

Almost surely, 2507316288 is an apocalyptic number.

It is an amenable number.

507316288 is an abundant number, since it is smaller than the sum of its proper divisors (523948604).

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

507316288 is a wasteful number, since it uses less digits than its factorization.

507316288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193390 (or 193380 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 507316288 is about 22523.6828249734. The cubic root of 507316288 is about 797.5530900870.

The spelling of 507316288 in words is "five hundred seven million, three hundred sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 193337 386674 773348 1546696 3093392 6186784 7926817 12373568 15853634 31707268 63414536 126829072 253658144 507316288