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1024675938 = 2321113398087
BaseRepresentation
bin111101000100110…
…101000001100010
32122102002221010200
4331010311001202
54044304112223
6245402210030
734251413256
oct7504650142
92572087120
101024675938
11486448220
122471b3916
13134399a30
149a132266
155ee57a43
hex3d135062

1024675938 has 48 divisors (see below), whose sum is σ = 2608272576. Its totient is φ = 286621920.

The previous prime is 1024675913. The next prime is 1024675979. The reversal of 1024675938 is 8395764201.

1024675938 is a `hidden beast` number, since 10 + 2 + 46 + 7 + 593 + 8 = 666.

1024675938 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1024675938 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1024675893 and 1024675902.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 196470 + ... + 201617.

It is an arithmetic number, because the mean of its divisors is an integer number (54339012).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1024675938 = 2049351876, but 3⋅1024675938 = 3074027814 is not.

Almost surely, 21024675938 is an apocalyptic number.

1024675938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1024675938 is an abundant number, since it is smaller than the sum of its proper divisors (1583596638).

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

1024675938 is a wasteful number, since it uses less digits than its factorization.

1024675938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398119 (or 398116 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1024675938 is about 32010.5597889197. The cubic root of 1024675938 is about 1008.1585693945.

The spelling of 1024675938 in words is "one billion, twenty-four million, six hundred seventy-five thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 398087 796174 1194261 2388522 3582783 4378957 5175131 7165566 8757914 10350262 13136871 15525393 26273742 31050786 39410613 46576179 56926441 78821226 93152358 113852882 170779323 341558646 512337969 1024675938