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513061696 = 2671145227
BaseRepresentation
bin11110100101001…
…011001101000000
31022202102020100001
4132211023031000
52022320433241
6122524405344
715466644460
oct3645131500
91282366301
10513061696
11243678934
121239a6854
13823a9404
144c1d5ba0
1530098431
hex1e94b340

513061696 has 28 divisors (see below), whose sum is σ = 1163551648. Its totient is φ = 219883392.

The previous prime is 513061673. The next prime is 513061723. The reversal of 513061696 is 696160315.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 572166 + ... + 573061.

It is an arithmetic number, because the mean of its divisors is an integer number (41555416).

Almost surely, 2513061696 is an apocalyptic number.

513061696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

513061696 is an abundant number, since it is smaller than the sum of its proper divisors (650489952).

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

513061696 is a wasteful number, since it uses less digits than its factorization.

513061696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145246 (or 1145236 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 513061696 is about 22650.8652373370. The cubic root of 513061696 is about 800.5525848912.

The spelling of 513061696 in words is "five hundred thirteen million, sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1145227 2290454 4580908 8016589 9161816 16033178 18323632 32066356 36647264 64132712 73294528 128265424 256530848 513061696