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806241856 = 2673315437
BaseRepresentation
bin110000000011100…
…100011001000000
32002012002022220111
4300003210121000
53122344214411
6212000321104
725656641230
oct6003443100
92065068814
10806241856
11384114492
121a6013194
13cb059cb4
1479111cc0
154abab721
hex300e4640

806241856 has 56 divisors (see below), whose sum is σ = 1834302656. Its totient is φ = 344424960.

The previous prime is 806241853. The next prime is 806241859. The reversal of 806241856 is 658142608.

It is an interprime number because it is at equal distance from previous prime (806241853) and next prime (806241859).

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (806241853) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145570 + ... + 151006.

Almost surely, 2806241856 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 806241856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917151328).

806241856 is an abundant number, since it is smaller than the sum of its proper divisors (1028060800).

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

806241856 is a wasteful number, since it uses less digits than its factorization.

806241856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 806241856 is about 28394.3983207956. The cubic root of 806241856 is about 930.7258587304.

The spelling of 806241856 in words is "eight hundred six million, two hundred forty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 331 448 662 1324 2317 2648 4634 5296 5437 9268 10592 10874 18536 21184 21748 37072 38059 43496 74144 76118 86992 148288 152236 173984 304472 347968 608944 1217888 1799647 2435776 3599294 7198588 12597529 14397176 25195058 28794352 50390116 57588704 100780232 115177408 201560464 403120928 806241856