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950057329 = 13223712
BaseRepresentation
bin111000101000001…
…011100101110001
32110012200220122111
4320220023211301
53421203313304
6234135005321
732354232304
oct7050134561
92405626574
10950057329
11448312151
12226209841
13121aa1c00
149026ab3b
1558618704
hex38a0b971

950057329 has 9 divisors (see below), whose sum is σ = 1029194379. Its totient is φ = 876606120.

The previous prime is 950057327. The next prime is 950057333. The reversal of 950057329 is 923750059.

The square root of 950057329 is 30823.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 140541025 + 809516304 = 11855^2 + 28452^2 .

It is not a de Polignac number, because 950057329 - 21 = 950057327 is a prime.

It is a super-2 number, since 2×9500573292 = 1805217856773228482, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 950057291 and 950057300.

It is not an unprimeable number, because it can be changed into a prime (950057327) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 399514 + ... + 401884.

It is an arithmetic number, because the mean of its divisors is an integer number (114354931).

Almost surely, 2950057329 is an apocalyptic number.

950057329 is the 30823-rd square number.

950057329 is the 15412-nd centered octagonal number.

It is an amenable number.

950057329 is a deficient number, since it is larger than the sum of its proper divisors (79137050).

950057329 is an frugal number, since it uses more digits than its factorization.

950057329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 40.

The cubic root of 950057329 is about 983.0673465269.

The spelling of 950057329 in words is "nine hundred fifty million, fifty-seven thousand, three hundred twenty-nine".

Divisors: 1 13 169 2371 30823 400699 5621641 73081333 950057329