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20258208 = 253323447
BaseRepresentation
bin100110101000…
…1110110100000
31102010020001000
41031101312200
520141230313
62002112000
7334122555
oct115216640
942106030
1020258208
1110487323
12694b600
134273b09
142994a2c
151ba2673
hex1351da0

20258208 has 48 divisors (see below), whose sum is σ = 59088960. Its totient is φ = 6752448.

The previous prime is 20258201. The next prime is 20258209. The reversal of 20258208 is 80285202.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20258201) 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, 10860 + ... + 12587.

It is an arithmetic number, because the mean of its divisors is an integer number (1231020).

Almost surely, 220258208 is an apocalyptic number.

It is an amenable number.

20258208 is an abundant number, since it is smaller than the sum of its proper divisors (38830752).

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

20258208 is a wasteful number, since it uses less digits than its factorization.

20258208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23466 (or 23452 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 20258208 is about 4500.9119076027. The cubic root of 20258208 is about 272.6049109276.

The spelling of 20258208 in words is "twenty million, two hundred fifty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 23447 46894 70341 93788 140682 187576 211023 281364 375152 422046 562728 633069 750304 844092 1125456 1266138 1688184 2250912 2532276 3376368 5064552 6752736 10129104 20258208