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492131943 = 3423299109
BaseRepresentation
bin11101010101010…
…101011001100111
31021022000220010000
4131111111121213
52001441210233
6120500032343
715124024002
oct3525253147
91238026100
10492131943
11232883016
121189926b3
137ac5ba44
1449508539
152d311d13
hex1d555667

492131943 has 40 divisors (see below), whose sum is σ = 793663200. Its totient is φ = 302968512.

The previous prime is 492131917. The next prime is 492131993. The reversal of 492131943 is 349131294.

It is not a de Polignac number, because 492131943 - 212 = 492127847 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 492131898 and 492131907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492131903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49473 + ... + 58581.

It is an arithmetic number, because the mean of its divisors is an integer number (19841580).

Almost surely, 2492131943 is an apocalyptic number.

492131943 is a deficient number, since it is larger than the sum of its proper divisors (301531257).

492131943 is a wasteful number, since it uses less digits than its factorization.

492131943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9173 (or 9164 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 492131943 is about 22184.0470383562. The cubic root of 492131943 is about 789.5152412461.

It can be divided in two parts, 4921 and 31943, that added together give a square (36864 = 1922).

The spelling of 492131943 in words is "four hundred ninety-two million, one hundred thirty-one thousand, nine hundred forty-three".

Divisors: 1 3 9 23 27 29 69 81 87 207 261 621 667 783 1863 2001 2349 6003 9109 18009 27327 54027 81981 209507 245943 264161 628521 737829 792483 1885563 2377449 5656689 6075703 7132347 16970067 18227109 21397041 54681327 164043981 492131943