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1148057856 = 28321197467
BaseRepresentation
bin100010001101101…
…1111100100000000
32222000021101022100
41010123133210000
54322400322411
6305530510400
740310221311
oct10433374400
92860241270
101148057856
1153a059950
12280595400
13153b0909a
14ac68c608
156abca456
hex446df900

1148057856 has 216 divisors, whose sum is σ = 3656094624. Its totient is φ = 343572480.

The previous prime is 1148057839. The next prime is 1148057863. The reversal of 1148057856 is 6587508411.

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, 2458135 + ... + 2458601.

It is an arithmetic number, because the mean of its divisors is an integer number (16926364).

Almost surely, 21148057856 is an apocalyptic number.

1148057856 is a gapful number since it is divisible by the number (16) 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 1148057856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828047312).

1148057856 is an abundant number, since it is smaller than the sum of its proper divisors (2508036768).

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

1148057856 is a wasteful number, since it uses less digits than its factorization.

1148057856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 1148057856 is about 33883.0024643626. The cubic root of 1148057856 is about 1047.0994341844.

The spelling of 1148057856 in words is "one billion, one hundred forty-eight million, fifty-seven thousand, eight hundred fifty-six".