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820326492 = 223222786847
BaseRepresentation
bin110000111001010…
…011000001011100
32010011120220101200
4300321103001130
53140000421432
6213222235500
726220442266
oct6071230134
92104526350
10820326492
11391064487
121aa885b90
13100c4babb
147ad3ab36
154c03ea7c
hex30e5305c

820326492 has 18 divisors (see below), whose sum is σ = 2073603168. Its totient is φ = 273442152.

The previous prime is 820326467. The next prime is 820326497. The reversal of 820326492 is 294623028.

820326492 is a `hidden beast` number, since 8 + 2 + 0 + 3 + 2 + 649 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 22786847 = 820326492 / (8 + 2 + 0 + 3 + 2 + 6 + 4 + 9 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820326497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11393388 + ... + 11393459.

It is an arithmetic number, because the mean of its divisors is an integer number (115200176).

Almost surely, 2820326492 is an apocalyptic number.

It is an amenable number.

820326492 is an abundant number, since it is smaller than the sum of its proper divisors (1253276676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820326492 is a wasteful number, since it uses less digits than its factorization.

820326492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22786857 (or 22786852 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 820326492 is about 28641.3423568100. The cubic root of 820326492 is about 936.1143707493.

The spelling of 820326492 in words is "eight hundred twenty million, three hundred twenty-six thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 22786847 45573694 68360541 91147388 136721082 205081623 273442164 410163246 820326492