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18427968 = 26321323107
BaseRepresentation
bin100011001001…
…1000001000000
31021200020102100
41012103001000
514204143333
61454550400
7312430566
oct106230100
937606370
1018427968
11a447229
126208400
133a82a30
142639a36
151940213
hex1193040

18427968 has 168 divisors, whose sum is σ = 59911488. Its totient is φ = 5372928.

The previous prime is 18427957. The next prime is 18427973. The reversal of 18427968 is 86972481.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172171 + ... + 172277.

It is an arithmetic number, because the mean of its divisors is an integer number (356616).

Almost surely, 218427968 is an apocalyptic number.

18427968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29955744).

18427968 is an abundant number, since it is smaller than the sum of its proper divisors (41483520).

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

18427968 is a wasteful number, since it uses less digits than its factorization.

18427968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 18427968 is about 4292.7809168417. The cubic root of 18427968 is about 264.1349172646.

The spelling of 18427968 in words is "eighteen million, four hundred twenty-seven thousand, nine hundred sixty-eight".