Search a number
-
+
405855433 = 17411135153
BaseRepresentation
bin11000001100001…
…101110011001001
31001021200120222201
4120030031303021
51312344333213
6104134520201
713025466664
oct3014156311
91037616881
10405855433
11199105215
12b3b06061
1366111859
143bc8a6db
152596d6dd
hex1830dcc9

405855433 has 16 divisors (see below), whose sum is σ = 444192336. Its totient is φ = 369295360.

The previous prime is 405855431. The next prime is 405855473. The reversal of 405855433 is 334558504.

It can be written as a sum of positive squares in 8 ways, for example, as 59783824 + 346071609 = 7732^2 + 18603^2 .

It is a cyclic number.

It is not a de Polignac number, because 405855433 - 21 = 405855431 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 405855392 and 405855401.

It is not an unprimeable number, because it can be changed into a prime (405855431) 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 15 ways as a sum of consecutive naturals, for example, 76185 + ... + 81337.

It is an arithmetic number, because the mean of its divisors is an integer number (27762021).

Almost surely, 2405855433 is an apocalyptic number.

It is an amenable number.

405855433 is a deficient number, since it is larger than the sum of its proper divisors (38336903).

405855433 is a wasteful number, since it uses less digits than its factorization.

405855433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324.

The product of its (nonzero) digits is 144000, while the sum is 37.

The square root of 405855433 is about 20145.8539903376. The cubic root of 405855433 is about 740.3841644209.

The spelling of 405855433 in words is "four hundred five million, eight hundred fifty-five thousand, four hundred thirty-three".

Divisors: 1 17 41 113 697 1921 4633 5153 78761 87601 211273 582289 3591641 9898913 23873849 405855433