Search a number
-
+
405095301 = 32133462353
BaseRepresentation
bin11000001001010…
…100001110000101
31001020020222021200
4120021110032011
51312201022201
6104110333113
713016152602
oct3011241605
91036228250
10405095301
11198736106
12b37ba199
1365c06880
143bb2d6a9
152586d386
hex18254385

405095301 has 12 divisors (see below), whose sum is σ = 630148428. Its totient is φ = 249289344.

The previous prime is 405095291. The next prime is 405095359. The reversal of 405095301 is 103590504.

It can be written as a sum of positive squares in 2 ways, for example, as 87329025 + 317766276 = 9345^2 + 17826^2 .

It is not a de Polignac number, because 405095301 - 25 = 405095269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405095381) 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 11 ways as a sum of consecutive naturals, for example, 1731060 + ... + 1731293.

It is an arithmetic number, because the mean of its divisors is an integer number (52512369).

Almost surely, 2405095301 is an apocalyptic number.

It is an amenable number.

405095301 is a deficient number, since it is larger than the sum of its proper divisors (225053127).

405095301 is a wasteful number, since it uses less digits than its factorization.

405095301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462372 (or 3462369 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 405095301 is about 20126.9794306051. The cubic root of 405095301 is about 739.9216504582.

The spelling of 405095301 in words is "four hundred five million, ninety-five thousand, three hundred one".

Divisors: 1 3 9 13 39 117 3462353 10387059 31161177 45010589 135031767 405095301