Search a number
-
+
461324461 = 131712831627
BaseRepresentation
bin11011011111110…
…100000010101101
31012011001201012011
4123133310002231
51421044340321
6113435441221
714301123163
oct3337640255
91164051164
10461324461
11217450994
1210a5b6211
1374763370
14453a9233
152a778ae1
hex1b7f40ad

461324461 has 16 divisors (see below), whose sum is σ = 526768704. Its totient is φ = 400230144.

The previous prime is 461324453. The next prime is 461324477. The reversal of 461324461 is 164423164.

It is a cyclic number.

It is not a de Polignac number, because 461324461 - 23 = 461324453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461324261) 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 15 ways as a sum of consecutive naturals, for example, 282730 + ... + 284356.

It is an arithmetic number, because the mean of its divisors is an integer number (32923044).

Almost surely, 2461324461 is an apocalyptic number.

It is an amenable number.

461324461 is a deficient number, since it is larger than the sum of its proper divisors (65444243).

461324461 is a wasteful number, since it uses less digits than its factorization.

461324461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940.

The product of its digits is 13824, while the sum is 31.

The square root of 461324461 is about 21478.4650522331. The cubic root of 461324461 is about 772.6844298742.

The spelling of 461324461 in words is "four hundred sixty-one million, three hundred twenty-four thousand, four hundred sixty-one".

Divisors: 1 13 17 221 1283 1627 16679 21151 21811 27659 283543 359567 2087441 27136733 35486497 461324461