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1055304768 = 26372234877
BaseRepresentation
bin111110111001101…
…010110001000000
32201112202000222210
4332321222301000
54130124223033
6252414502120
735102641200
oct7671526100
92645660883
101055304768
114a1768101
12255504940
1313a831cbb
14a0226400
15629a7d63
hex3ee6ac40

1055304768 has 168 divisors, whose sum is σ = 3389936832. Its totient is φ = 288347136.

The previous prime is 1055304749. The next prime is 1055304779. The reversal of 1055304768 is 8674035501.

1055304768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×10553047682 = 2227336306727067648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213946 + ... + 218822.

Almost surely, 21055304768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694968416).

1055304768 is an abundant number, since it is smaller than the sum of its proper divisors (2334632064).

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

1055304768 is a wasteful number, since it uses less digits than its factorization.

1055304768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 1055304768 is about 32485.4547143795. The cubic root of 1055304768 is about 1018.1051480147.

The spelling of 1055304768 in words is "one billion, fifty-five million, three hundred four thousand, seven hundred sixty-eight".