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842456641 = 131729131449
BaseRepresentation
bin110010001101101…
…101111001000001
32011201020020020211
4302031231321001
53211132103031
6215332434121
726606522545
oct6215557101
92151206224
10842456641
113a25aa164
121b6178941
131056c9970
147dc5ba25
154de61bb1
hex3236de41

842456641 has 16 divisors (see below), whose sum is σ = 993762000. Its totient is φ = 706664448.

The previous prime is 842456639. The next prime is 842456647. The reversal of 842456641 is 146654248.

842456641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 46991025 + 795465616 = 6855^2 + 28204^2 .

It is a cyclic number.

It is not a de Polignac number, because 842456641 - 21 = 842456639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 842456594 and 842456603.

It is not an unprimeable number, because it can be changed into a prime (842456647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59316 + ... + 72133.

It is an arithmetic number, because the mean of its divisors is an integer number (62110125).

Almost surely, 2842456641 is an apocalyptic number.

It is an amenable number.

842456641 is a deficient number, since it is larger than the sum of its proper divisors (151305359).

842456641 is a wasteful number, since it uses less digits than its factorization.

842456641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131508.

The product of its digits is 184320, while the sum is 40.

The square root of 842456641 is about 29025.1036346126. The cubic root of 842456641 is about 944.4577167372.

The spelling of 842456641 in words is "eight hundred forty-two million, four hundred fifty-six thousand, six hundred forty-one".

Divisors: 1 13 17 29 221 377 493 6409 131449 1708837 2234633 3812021 29050229 49556273 64804357 842456641