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809892941 = 11135921627
BaseRepresentation
bin110000010001011…
…111110001001101
32002102221211020212
4300101133301031
53124313033231
6212210452205
726032655624
oct6021376115
92072854225
10809892941
11386188610
121a7294065
13cba37ac0
14797c26bb
154b17d42b
hex3045fc4d

809892941 has 24 divisors (see below), whose sum is σ = 968477664. Its totient is φ = 667700640.

The previous prime is 809892931. The next prime is 809892973. The reversal of 809892941 is 149298908.

It is a happy number.

809892941 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 809892941 - 222 = 805698637 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 809892941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809892901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496970 + ... + 498596.

It is an arithmetic number, because the mean of its divisors is an integer number (40353236).

Almost surely, 2809892941 is an apocalyptic number.

It is an amenable number.

809892941 is a deficient number, since it is larger than the sum of its proper divisors (158584723).

809892941 is a wasteful number, since it uses less digits than its factorization.

809892941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 50.

The square root of 809892941 is about 28458.6180444518. The cubic root of 809892941 is about 932.1286811859.

The spelling of 809892941 in words is "eight hundred nine million, eight hundred ninety-two thousand, nine hundred forty-one".

Divisors: 1 11 13 59 143 649 767 1627 3481 8437 17897 21151 38291 45253 95993 232661 497783 1055923 1247909 5663587 13726999 62299457 73626631 809892941