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516463264 = 2517949381
BaseRepresentation
bin11110110010001…
…001101010100000
31022222211001102001
4132302021222200
52024203311024
6123125333344
715540602542
oct3662115240
91288731361
10516463264
11245591549
12124b67254
1382cca785
144c83d692
153051b244
hex1ec89aa0

516463264 has 24 divisors (see below), whose sum is σ = 1076599188. Its totient is φ = 243041280.

The previous prime is 516463261. The next prime is 516463273. The reversal of 516463264 is 462364615.

It can be written as a sum of positive squares in 2 ways, for example, as 515653264 + 810000 = 22708^2 + 900^2 .

It is not an unprimeable number, because it can be changed into a prime (516463261) 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 3 ways as a sum of consecutive naturals, for example, 474147 + ... + 475234.

Almost surely, 2516463264 is an apocalyptic number.

It is an amenable number.

516463264 is an abundant number, since it is smaller than the sum of its proper divisors (560135924).

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

516463264 is a wasteful number, since it uses less digits than its factorization.

516463264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949408 (or 949400 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 516463264 is about 22725.8281257251. The cubic root of 516463264 is about 802.3178943876.

The spelling of 516463264 in words is "five hundred sixteen million, four hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 949381 1898762 3797524 7595048 15190096 16139477 30380192 32278954 64557908 129115816 258231632 516463264