Search a number
-
+
406196791 = 71113439437
BaseRepresentation
bin11000001101100…
…001001000110111
31001022022221020121
4120031201020313
51312441244131
6104150112411
713031421130
oct3015411067
91038287217
10406196791
11199318730
12b404b707
1366201040
143bd38c87
15259d9911
hex18361237

406196791 has 32 divisors (see below), whose sum is σ = 558125568. Its totient is φ = 285344640.

The previous prime is 406196779. The next prime is 406196803. The reversal of 406196791 is 197691604.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (406196779) and next prime (406196803).

It is not a de Polignac number, because 406196791 - 27 = 406196663 is a prime.

It is a super-3 number, since 3×4061967913 (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406196711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38325 + ... + 47761.

It is an arithmetic number, because the mean of its divisors is an integer number (17441424).

Almost surely, 2406196791 is an apocalyptic number.

406196791 is a deficient number, since it is larger than the sum of its proper divisors (151928777).

406196791 is a wasteful number, since it uses less digits than its factorization.

406196791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9511.

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 406196791 is about 20154.3243746845. The cubic root of 406196791 is about 740.5916810330.

The spelling of 406196791 in words is "four hundred six million, one hundred ninety-six thousand, seven hundred ninety-one".

Divisors: 1 7 11 13 43 77 91 143 301 473 559 1001 3311 3913 6149 9437 43043 66059 103807 122681 405791 726649 858767 1349491 2840537 4463701 5275283 9446437 31245907 36926981 58028113 406196791