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820490924 = 2211171915743
BaseRepresentation
bin110000111001111…
…011001010101100
32010011220020221202
4300321323022230
53140021202144
6213225545032
726222025551
oct6071731254
92104806852
10820490924
11391166a80
121aa945178
13100ca88b6
147ad80a28
154c07364e
hex30e7b2ac

820490924 has 48 divisors (see below), whose sum is σ = 1667506176. Its totient is φ = 349113600.

The previous prime is 820490921. The next prime is 820490929. The reversal of 820490924 is 429094028.

It is not an unprimeable number, because it can be changed into a prime (820490921) 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, 139997 + ... + 145739.

It is an arithmetic number, because the mean of its divisors is an integer number (34739712).

Almost surely, 2820490924 is an apocalyptic number.

It is an amenable number.

820490924 is an abundant number, since it is smaller than the sum of its proper divisors (847015252).

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

820490924 is a wasteful number, since it uses less digits than its factorization.

820490924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5966 (or 5964 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 820490924 is about 28644.2127488259. The cubic root of 820490924 is about 936.1769136824.

The spelling of 820490924 in words is "eight hundred twenty million, four hundred ninety thousand, nine hundred twenty-four".

Divisors: 1 2 4 11 17 22 34 44 68 187 191 374 382 748 764 2101 3247 4202 5743 6494 8404 11486 12988 22972 35717 63173 71434 97631 126346 142868 195262 252692 390524 1073941 1096913 2147882 2193826 4295764 4387652 12066043 18647521 24132086 37295042 48264172 74590084 205122731 410245462 820490924