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10287648 = 253872
BaseRepresentation
bin100111001111…
…101000100000
3201100200000000
4213033220200
510113201043
61004300000
7153305100
oct47175040
921320000
1010287648
115897298
123541600
132192787
14151b200
15d832d3
hex9cfa20

10287648 has 162 divisors, whose sum is σ = 35339031. Its totient is φ = 2939328.

The previous prime is 10287643. The next prime is 10287661. The reversal of 10287648 is 84678201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10287648 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 7 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5143824 + 5143824 = 2268^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (162).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2268.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10287643) 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 26 ways as a sum of consecutive naturals, for example, 1469661 + ... + 1469667.

Almost surely, 210287648 is an apocalyptic number.

10287648 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 10287648

10287648 is an abundant number, since it is smaller than the sum of its proper divisors (25051383).

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

10287648 is an frugal number, since it uses more digits than its factorization.

10287648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 10287648 is about 3207.4363594622. The cubic root of 10287648 is about 217.4897022473.

Multiplying 10287648 by its product of nonzero digits (21504), we get a cube (221225582592 = 60483).

The spelling of 10287648 in words is "ten million, two hundred eighty-seven thousand, six hundred forty-eight".