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1026112248 = 23327172341127
BaseRepresentation
bin111101001010010…
…011101011111000
32122111210220101100
4331022103223320
54100141042443
6245453051400
734266544620
oct7512235370
92574726340
101026112248
11487239357
12247786b60
13134780715
149a3c7880
156013d3d3
hex3d293af8

1026112248 has 384 divisors, whose sum is σ = 3622993920. Its totient is φ = 255467520.

The previous prime is 1026112237. The next prime is 1026112259. The reversal of 1026112248 is 8422116201.

1026112248 is a `hidden beast` number, since 1 + 0 + 2 + 611 + 2 + 2 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (1026112237) and next prime (1026112259).

It is a super-2 number, since 2×10261122482 = 2105812690991227008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8079561 + ... + 8079687.

It is an arithmetic number, because the mean of its divisors is an integer number (9434880).

Almost surely, 21026112248 is an apocalyptic number.

1026112248 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 1026112248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811496960).

1026112248 is an abundant number, since it is smaller than the sum of its proper divisors (2596881672).

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

1026112248 is a wasteful number, since it uses less digits than its factorization.

1026112248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1026112248 is about 32032.9868729096. The cubic root of 1026112248 is about 1008.6294018890.

Adding to 1026112248 its reverse (8422116201), we get a palindrome (9448228449).

The spelling of 1026112248 in words is "one billion, twenty-six million, one hundred twelve thousand, two hundred forty-eight".