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465461125 = 53311131063
BaseRepresentation
bin11011101111100…
…101111110000101
31012102211212121221
4123233211332011
51423124224000
6114104240341
714351232343
oct3357457605
91172755557
10465461125
11219816918
1210ba700b1
13755811ac
1445b64993
152ace461a
hex1bbe5f85

465461125 has 32 divisors (see below), whose sum is σ = 605509632. Its totient is φ = 356832000.

The previous prime is 465461123. The next prime is 465461131. The reversal of 465461125 is 521164564.

It is not a de Polignac number, because 465461125 - 21 = 465461123 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465461123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437344 + ... + 438406.

It is an arithmetic number, because the mean of its divisors is an integer number (18922176).

Almost surely, 2465461125 is an apocalyptic number.

It is an amenable number.

465461125 is a deficient number, since it is larger than the sum of its proper divisors (140048507).

465461125 is a wasteful number, since it uses less digits than its factorization.

465461125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1212 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 465461125 is about 21574.5480833319. The cubic root of 465461125 is about 774.9870965594.

The spelling of 465461125 in words is "four hundred sixty-five million, four hundred sixty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 31 113 125 155 565 775 1063 2825 3503 3875 5315 14125 17515 26575 32953 87575 120119 132875 164765 437875 600595 823825 3002975 3723689 4119125 15014875 18618445 93092225 465461125