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806047056 = 24325597549
BaseRepresentation
bin110000000010110…
…100110101010000
32002011201102200200
4300002310311100
53122322001211
6211552215200
725655200263
oct6002646520
92064642620
10806047056
11383aa10a1
121a5b3a500
13cacbc429
14790a0cda
154ab6db56
hex300b4d50

806047056 has 30 divisors (see below), whose sum is σ = 2255812650. Its totient is φ = 268682304.

The previous prime is 806047049. The next prime is 806047057. The reversal of 806047056 is 650740608.

It is a happy number.

806047056 is a `hidden beast` number, since 80 + 60 + 470 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 586414656 + 219632400 = 24216^2 + 14820^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 806047056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806047057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2798631 + ... + 2798918.

It is an arithmetic number, because the mean of its divisors is an integer number (75193755).

Almost surely, 2806047056 is an apocalyptic number.

It is an amenable number.

806047056 is an abundant number, since it is smaller than the sum of its proper divisors (1449765594).

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

806047056 is a wasteful number, since it uses less digits than its factorization.

806047056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597563 (or 5597554 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 806047056 is about 28390.9678595148. The cubic root of 806047056 is about 930.6508936316.

The spelling of 806047056 in words is "eight hundred six million, forty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5597549 11195098 16792647 22390196 33585294 44780392 50377941 67170588 89560784 100755882 134341176 201511764 268682352 403023528 806047056