Search a number
-
+
461603313 = 3317096419
BaseRepresentation
bin11011100000111…
…000000111110001
31012011120212201000
4123200320013301
51421132301223
6113445432213
714303364153
oct3340700761
91164525630
10461603313
11217621446
1210a70b669
1374830272
144543cad3
152a7d1543
hex1b8381f1

461603313 has 8 divisors (see below), whose sum is σ = 683856800. Its totient is φ = 307735524.

The previous prime is 461603291. The next prime is 461603321. The reversal of 461603313 is 313306164.

461603313 is a `hidden beast` number, since 4 + 616 + 0 + 33 + 13 = 666.

It is not a de Polignac number, because 461603313 - 210 = 461602289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 17096419 = 461603313 / (4 + 6 + 1 + 6 + 0 + 3 + 3 + 1 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461603333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8548183 + ... + 8548236.

It is an arithmetic number, because the mean of its divisors is an integer number (85482100).

Almost surely, 2461603313 is an apocalyptic number.

It is an amenable number.

461603313 is a deficient number, since it is larger than the sum of its proper divisors (222253487).

461603313 is a wasteful number, since it uses less digits than its factorization.

461603313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17096428 (or 17096422 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 461603313 is about 21484.9555037938. The cubic root of 461603313 is about 772.8400840238.

Adding to 461603313 its reverse (313306164), we get a palindrome (774909477).

The spelling of 461603313 in words is "four hundred sixty-one million, six hundred three thousand, three hundred thirteen".

Divisors: 1 3 9 27 17096419 51289257 153867771 461603313