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52958000468 = 2241536092729
BaseRepresentation
bin110001010100100010…
…101111010101010100
312001200201211011102202
4301110202233111110
51331424222003333
640154545424032
73553230401552
oct612442572524
9161621734382
1052958000468
112050645763a
12a31b63b018
134cbc83a569
1427c5522bd2
15159e3de5e8
hexc548af554

52958000468 has 24 divisors (see below), whose sum is σ = 96728181480. Its totient is φ = 25345748480.

The previous prime is 52958000467. The next prime is 52958000489. The reversal of 52958000468 is 86400085925.

It can be written as a sum of positive squares in 4 ways, for example, as 10694041744 + 42263958724 = 103412^2 + 205582^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52958000461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3037673 + ... + 3055056.

It is an arithmetic number, because the mean of its divisors is an integer number (4030340895).

Almost surely, 252958000468 is an apocalyptic number.

It is an amenable number.

52958000468 is a deficient number, since it is larger than the sum of its proper divisors (43770181012).

52958000468 is a wasteful number, since it uses less digits than its factorization.

52958000468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6092827 (or 6092825 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 52958000468 in words is "fifty-two billion, nine hundred fifty-eight million, four hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 4 41 53 82 106 164 212 2173 4346 8692 6092729 12185458 24370916 249801889 322914637 499603778 645829274 999207556 1291658548 13239500117 26479000234 52958000468