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428680725 = 35211598807
BaseRepresentation
bin11001100011010…
…010011000010101
31002212122020101220
4121203102120111
51334220240400
6110312040553
713423504014
oct3143223025
91085566356
10428680725
111aaa851a0
12bb693159
136aa73c45
1440d0ca7b
152797b7a0
hex198d2615

428680725 has 48 divisors (see below), whose sum is σ = 786378240. Its totient is φ = 204299200.

The previous prime is 428680691. The next prime is 428680751. The reversal of 428680725 is 527086824.

It is a happy number.

It is not a de Polignac number, because 428680725 - 26 = 428680661 is a prime.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 44272 + ... + 53078.

It is an arithmetic number, because the mean of its divisors is an integer number (16382880).

Almost surely, 2428680725 is an apocalyptic number.

It is an amenable number.

428680725 is a deficient number, since it is larger than the sum of its proper divisors (357697515).

428680725 is a wasteful number, since it uses less digits than its factorization.

428680725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8890 (or 8885 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 428680725 is about 20704.6063715300. The cubic root of 428680725 is about 754.0115274970.

The spelling of 428680725 in words is "four hundred twenty-eight million, six hundred eighty thousand, seven hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 59 75 165 177 275 295 649 825 885 1475 1947 3245 4425 8807 9735 16225 26421 44035 48675 96877 132105 220175 290631 484385 519613 660525 1453155 1558839 2421925 2598065 5715743 7265775 7794195 12990325 17147229 28578715 38970975 85736145 142893575 428680725