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1025937468 = 223358716183
BaseRepresentation
bin111101001001101…
…001000000111100
32122111111000122000
4331021221000330
54100114444333
6245445222300
734265216223
oct7511510074
92574430560
101025937468
1148712a006
12247701990
1313471bcba
149a37dcba
1560106713
hex3d26903c

1025937468 has 48 divisors (see below), whose sum is σ = 2664533760. Its totient is φ = 341375472.

The previous prime is 1025937457. The next prime is 1025937469. The reversal of 1025937468 is 8647395201.

1025937468 is a `hidden beast` number, since 10 + 2 + 593 + 7 + 46 + 8 = 666.

1025937468 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1025937468 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025937469) 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, 55305 + ... + 71487.

It is an arithmetic number, because the mean of its divisors is an integer number (55511120).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1025937468 = 2051874936, but 3⋅1025937468 = 3077812404 is not.

Almost surely, 21025937468 is an apocalyptic number.

1025937468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1025937468 is an abundant number, since it is smaller than the sum of its proper divisors (1638596292).

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

1025937468 is a wasteful number, since it uses less digits than its factorization.

1025937468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16783 (or 16775 counting only the distinct ones).

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

The square root of 1025937468 is about 32030.2586314878. The cubic root of 1025937468 is about 1008.5721312680.

The spelling of 1025937468 in words is "one billion, twenty-five million, nine hundred thirty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 587 1174 1761 2348 3522 5283 7044 10566 15849 16183 21132 31698 32366 48549 63396 64732 97098 145647 194196 291294 436941 582588 873882 1747764 9499421 18998842 28498263 37997684 56996526 85494789 113993052 170989578 256484367 341979156 512968734 1025937468