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852338993 = 111937110221
BaseRepresentation
bin110010110011011…
…010100100110001
32012101211022021212
4302303122210301
53221144321433
6220324325505
730056522222
oct6263324461
92171738255
10852338993
113a81399a0
121b9543895
13107779acc
14812b1249
154ec64d48
hex32cda931

852338993 has 16 divisors (see below), whose sum is σ = 1005224640. Its totient is φ = 714225600.

The previous prime is 852338969. The next prime is 852339001. The reversal of 852338993 is 399833258.

852338993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 852338993 - 28 = 852338737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (852338923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47378 + ... + 62843.

It is an arithmetic number, because the mean of its divisors is an integer number (62826540).

Almost surely, 2852338993 is an apocalyptic number.

It is an amenable number.

852338993 is a deficient number, since it is larger than the sum of its proper divisors (152885647).

852338993 is a wasteful number, since it uses less digits than its factorization.

852338993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110288.

The product of its digits is 1399680, while the sum is 50.

The square root of 852338993 is about 29194.8453155690. The cubic root of 852338993 is about 948.1363252502.

The spelling of 852338993 in words is "eight hundred fifty-two million, three hundred thirty-eight thousand, nine hundred ninety-three".

Divisors: 1 11 19 37 209 407 703 7733 110221 1212431 2094199 4078177 23036189 44859947 77485363 852338993