Search a number
-
+
793881 = 38112
BaseRepresentation
bin11000001110100011001
31111100000000
43001310121
5200401011
625003213
76514344
oct3016431
91440000
10793881
114a2500
12323509
1321a46a
1416945b
1510a356
hexc1d19

793881 has 27 divisors (see below), whose sum is σ = 1308853. Its totient is φ = 481140.

The previous prime is 793867. The next prime is 793889. The reversal of 793881 is 188397.

The square root of 793881 is 891.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 793881 - 215 = 761113 is a prime.

It is a super-2 number, since 2×7938812 = 1260494084322, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (12096) is a multiple of the sum of its prime divisors (14).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 793881.

It is not an unprimeable number, because it can be changed into a prime (793889) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72166 + ... + 72176.

793881 is a Friedman number, since it can be written as (898-7)^(3-1), using all its digits and the basic arithmetic operations.

2793881 is an apocalyptic number.

793881 is the 891-st square number.

793881 is the 446-th centered octagonal number.

It is an amenable number.

793881 is a deficient number, since it is larger than the sum of its proper divisors (514972).

793881 is an frugal number, since it uses more digits than its factorization.

793881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 14 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The cubic root of 793881 is about 92.5944883029.

Multiplying 793881 by its sum of digits (36), we get a square (28579716 = 53462).

The spelling of 793881 in words is "seven hundred ninety-three thousand, eight hundred eighty-one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 729 891 1089 2187 2673 3267 6561 8019 9801 24057 29403 72171 88209 264627 793881