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1056895488 = 29321129719
BaseRepresentation
bin111110111111101…
…111001000000000
32201122201212001100
4332333233020000
54131031123423
6252512534400
735122314645
oct7677571000
92648655040
101056895488
114a2654250
12255b51400
1313ac6b05c
14a051bdcc
1562bbe343
hex3efef200

1056895488 has 240 divisors, whose sum is σ = 3447100800. Its totient is φ = 308797440.

The previous prime is 1056895487. The next prime is 1056895507. The reversal of 1056895488 is 8845986501.

It is a happy number.

1056895488 is a `hidden beast` number, since 10 + 5 + 6 + 89 + 548 + 8 = 666.

It is a super-2 number, since 2×10568954882 = 2234056145109516288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1056895481) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1469593 + ... + 1470311.

It is an arithmetic number, because the mean of its divisors is an integer number (14362920).

Almost surely, 21056895488 is an apocalyptic number.

1056895488 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 1056895488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723550400).

1056895488 is an abundant number, since it is smaller than the sum of its proper divisors (2390205312).

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

1056895488 is a wasteful number, since it uses less digits than its factorization.

1056895488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The square root of 1056895488 is about 32509.9290679017. The cubic root of 1056895488 is about 1018.6164401771.

The spelling of 1056895488 in words is "one billion, fifty-six million, eight hundred ninety-five thousand, four hundred eighty-eight".