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512820048 = 24313821827
BaseRepresentation
bin11110100100010…
…000001101010000
31022201221221212010
4132210100031100
52022240220143
6122515302520
715464620116
oct3644201520
91281857763
10512820048
11243523324
121238aaa40
1382323420
144c171ab6
153004ba33
hex1e910350

512820048 has 40 divisors (see below), whose sum is σ = 1426693408. Its totient is φ = 157790592.

The previous prime is 512820041. The next prime is 512820059. The reversal of 512820048 is 840028215.

It is a junction number, because it is equal to n+sod(n) for n = 512819997 and 512820024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512820041) 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 7 ways as a sum of consecutive naturals, for example, 410290 + ... + 411537.

Almost surely, 2512820048 is an apocalyptic number.

It is an amenable number.

512820048 is an abundant number, since it is smaller than the sum of its proper divisors (913873360).

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

512820048 is a wasteful number, since it uses less digits than its factorization.

512820048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821851 (or 821845 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 512820048 is about 22645.5304199306. The cubic root of 512820048 is about 800.4268805091.

The spelling of 512820048 in words is "five hundred twelve million, eight hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 821827 1643654 2465481 3287308 4930962 6574616 9861924 10683751 13149232 19723848 21367502 32051253 39447696 42735004 64102506 85470008 128205012 170940016 256410024 512820048