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20582828 = 2273672003
BaseRepresentation
bin100111010000…
…1000110101100
31102201201022222
41032201012230
520232122303
62013054512
7336644150
oct116410654
942651288
1020582828
1110689202
126a87438
1343587b6
142a3b060
151c18938
hex13a11ac

20582828 has 24 divisors (see below), whose sum is σ = 41298432. Its totient is φ = 8792784.

The previous prime is 20582827. The next prime is 20582867. The reversal of 20582828 is 82828502.

It is not an unprimeable number, because it can be changed into a prime (20582827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9275 + ... + 11277.

It is an arithmetic number, because the mean of its divisors is an integer number (1720768).

Almost surely, 220582828 is an apocalyptic number.

20582828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20582828 is an abundant number, since it is smaller than the sum of its proper divisors (20715604).

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

20582828 is a wasteful number, since it uses less digits than its factorization.

20582828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 20582828 is about 4536.8301709453. The cubic root of 20582828 is about 274.0532867397.

The spelling of 20582828 in words is "twenty million, five hundred eighty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 367 734 1468 2003 2569 4006 5138 8012 10276 14021 28042 56084 735101 1470202 2940404 5145707 10291414 20582828