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305828125 = 5623237
BaseRepresentation
bin10010001110101…
…001000100011101
3210022110200022121
4102032221010131
51111243000000
650202542541
710402332121
oct2216510435
9708420277
10305828125
111476a5219
1286507a51
134b48b7b5
142c88d581
151bcb0b1a
hex123a911d

305828125 has 42 divisors (see below), whose sum is σ = 410424434. Its totient is φ = 227700000.

The previous prime is 305828087. The next prime is 305828129. The reversal of 305828125 is 521828503.

It can be written as a sum of positive squares in 7 ways, for example, as 294396964 + 11431161 = 17158^2 + 3381^2 .

It is not a de Polignac number, because 305828125 - 211 = 305826077 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 (305828129) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 8265607 + ... + 8265643.

Almost surely, 2305828125 is an apocalyptic number.

It is an amenable number.

305828125 is a deficient number, since it is larger than the sum of its proper divisors (104596309).

305828125 is an frugal number, since it uses more digits than its factorization.

305828125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 305828125 is about 17487.9422746074. The cubic root of 305828125 is about 673.7402200142.

The spelling of 305828125 in words is "three hundred five million, eight hundred twenty-eight thousand, one hundred twenty-five".

Divisors: 1 5 23 25 37 115 125 185 529 575 625 851 925 2645 2875 3125 4255 4625 13225 14375 15625 19573 21275 23125 66125 71875 97865 106375 115625 330625 359375 489325 531875 578125 1653125 2446625 2659375 8265625 12233125 13296875 61165625 305828125