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852768431 = 19355912611
BaseRepresentation
bin110010110101000…
…011011010101111
32012102122010100222
4302311003122233
53221302042211
6220341441555
730063261224
oct6265033257
92172563328
10852768431
113a84025a9
121b97102bb
1310789a408
148138394b
154ecec1db
hex32d436af

852768431 has 8 divisors (see below), whose sum is σ = 897974400. Its totient is φ = 807594840.

The previous prime is 852768361. The next prime is 852768451. The reversal of 852768431 is 134867258.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 852768431 - 222 = 848574127 is a prime.

It is a super-2 number, since 2×8527684312 = 1454427993820403522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852768451) 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, 61316 + ... + 73926.

It is an arithmetic number, because the mean of its divisors is an integer number (112246800).

Almost surely, 2852768431 is an apocalyptic number.

852768431 is a deficient number, since it is larger than the sum of its proper divisors (45205969).

852768431 is a wasteful number, since it uses less digits than its factorization.

852768431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16189.

The product of its digits is 322560, while the sum is 44.

The square root of 852768431 is about 29202.1990781516. The cubic root of 852768431 is about 948.2955331899.

The spelling of 852768431 in words is "eight hundred fifty-two million, seven hundred sixty-eight thousand, four hundred thirty-one".

Divisors: 1 19 3559 12611 67621 239609 44882549 852768431