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816911041 = 38325569
BaseRepresentation
bin110000101100010…
…001001011000001
32002221011101021111
4300230101023001
53133112123131
6213021123321
726146425562
oct6054211301
92087141244
10816911041
1138a1413a1
121a96b9541
1310032431b
147a6cc169
154bab7ab1
hex30b112c1

816911041 has 6 divisors (see below), whose sum is σ = 819196610. Its totient is φ = 814631808.

The previous prime is 816911003. The next prime is 816911083. The reversal of 816911041 is 140119618.

It can be written as a sum of positive squares in only one way, i.e., 582208641 + 234702400 = 24129^2 + 15320^2 .

It is not a de Polignac number, because 816911041 - 215 = 816878273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 816910994 and 816911012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816911141) 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, 143905 + ... + 149473.

Almost surely, 2816911041 is an apocalyptic number.

It is an amenable number.

816911041 is a deficient number, since it is larger than the sum of its proper divisors (2285569).

816911041 is an frugal number, since it uses more digits than its factorization.

816911041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 31.

The square root of 816911041 is about 28581.6556728262. The cubic root of 816911041 is about 934.8133845488.

The spelling of 816911041 in words is "eight hundred sixteen million, nine hundred eleven thousand, forty-one".

Divisors: 1 383 5569 146689 2132927 816911041