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820926133 = 65310331217
BaseRepresentation
bin110000111011100…
…101011010110101
32010012201100221121
4300323211122311
53140124114013
6213243143541
726225520436
oct6073453265
92105640847
10820926133
11391433a55
121aab14bb1
131010cba11
147b05548d
154c10c58d
hex30ee56b5

820926133 has 8 divisors (see below), whose sum is σ = 823655448. Its totient is φ = 818202624.

The previous prime is 820926101. The next prime is 820926137. The reversal of 820926133 is 331629028.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 166487409 + 654438724 = 12903^2 + 25582^2 .

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 820926133 - 25 = 820926101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820926137) 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, 673941 + ... + 675157.

It is an arithmetic number, because the mean of its divisors is an integer number (102956931).

Almost surely, 2820926133 is an apocalyptic number.

It is an amenable number.

820926133 is a deficient number, since it is larger than the sum of its proper divisors (2729315).

820926133 is a wasteful number, since it uses less digits than its factorization.

820926133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903.

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 820926133 is about 28651.8085467567. The cubic root of 820926133 is about 936.3424083434.

The spelling of 820926133 in words is "eight hundred twenty million, nine hundred twenty-six thousand, one hundred thirty-three".

Divisors: 1 653 1033 1217 674549 794701 1257161 820926133