Search a number
-
+
406405269 = 3419264071
BaseRepresentation
bin11000001110010…
…100000010010101
31001022201112020000
4120032110002111
51313014432034
6104154401513
713033250004
oct3016240225
91038645200
10406405269
11199450326
12b4130299
1366274bba
143bd90c3b
1525a2b599
hex18394095

406405269 has 20 divisors (see below), whose sum is σ = 639054240. Its totient is φ = 256676040.

The previous prime is 406405261. The next prime is 406405271. The reversal of 406405269 is 962504604.

406405269 is a `hidden beast` number, since 4 + 0 + 640 + 5 + 2 + 6 + 9 = 666.

It is not a de Polignac number, because 406405269 - 23 = 406405261 is a prime.

It is a super-2 number, since 2×4064052692 = 330330485341924722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406405261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 130497 + ... + 133574.

It is an arithmetic number, because the mean of its divisors is an integer number (31952712).

Almost surely, 2406405269 is an apocalyptic number.

It is an amenable number.

406405269 is a deficient number, since it is larger than the sum of its proper divisors (232648971).

406405269 is a wasteful number, since it uses less digits than its factorization.

406405269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264102 (or 264093 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 406405269 is about 20159.4957526224. The cubic root of 406405269 is about 740.7183607352.

The spelling of 406405269 in words is "four hundred six million, four hundred five thousand, two hundred sixty-nine".

Divisors: 1 3 9 19 27 57 81 171 513 1539 264071 792213 2376639 5017349 7129917 15052047 21389751 45156141 135468423 406405269