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461380465 = 57131636221
BaseRepresentation
bin11011100000000…
…001101101110001
31012011011120000101
4123200001231301
51421103133330
6113440552401
714301445360
oct3340015561
91164146011
10461380465
11217489a77
1210a622701
13747829c0
14453c17d7
152a78a4ca
hex1b801b71

461380465 has 32 divisors (see below), whose sum is σ = 685714176. Its totient is φ = 290200320.

The previous prime is 461380457. The next prime is 461380487. The reversal of 461380465 is 564083164.

It is a happy number.

It is not a de Polignac number, because 461380465 - 23 = 461380457 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 71055 + ... + 77275.

It is an arithmetic number, because the mean of its divisors is an integer number (21428568).

Almost surely, 2461380465 is an apocalyptic number.

It is an amenable number.

461380465 is a deficient number, since it is larger than the sum of its proper divisors (224333711).

461380465 is a wasteful number, since it uses less digits than its factorization.

461380465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409.

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 461380465 is about 21479.7687371163. The cubic root of 461380465 is about 772.7156961315.

It can be divided in two parts, 4613 and 80465, that added together give a triangular number (85078 = T412).

The spelling of 461380465 in words is "four hundred sixty-one million, three hundred eighty thousand, four hundred sixty-five".

Divisors: 1 5 7 13 35 65 91 163 455 815 1141 2119 5705 6221 10595 14833 31105 43547 74165 80873 217735 404365 566111 1014023 2830555 5070115 7098161 13182299 35490805 65911495 92276093 461380465