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6428030625 = 325410692
BaseRepresentation
bin1011111110010001…
…11111011010100001
3121120222110210022100
411333020333122201
5101131033440000
62541503001013
7315202234032
oct57710773241
917528423270
106428030625
1127a9501605
1212b4899169
137b5972b23
1444d9cca89
152794d6a00
hex17f23f6a1

6428030625 has 45 divisors (see below), whose sum is σ = 11613316143. Its totient is φ = 3425076000.

The previous prime is 6428030617. The next prime is 6428030627. The reversal of 6428030625 is 5260308246.

The square root of 6428030625 is 80175.

It is a perfect power (a square), and thus also a powerful number.

6428030625 is a `hidden beast` number, since 6 + 4 + 28 + 0 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 5113823121 + 1314207504 = 71511^2 + 36252^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 6428030625 - 23 = 6428030617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6428030625.

It is not an unprimeable number, because it can be changed into a prime (6428030627) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6012591 + ... + 6013659.

Almost surely, 26428030625 is an apocalyptic number.

6428030625 is the 80175-th square number.

6428030625 is the 40088-th centered octagonal number.

It is an amenable number.

6428030625 is a deficient number, since it is larger than the sum of its proper divisors (5185285518).

6428030625 is an frugal number, since it uses more digits than its factorization.

6428030625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The cubic root of 6428030625 is about 1859.3421407464.

Multiplying 6428030625 by its sum of digits (36), we get a square (231409102500 = 4810502).

The spelling of 6428030625 in words is "six billion, four hundred twenty-eight million, thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1069 1125 1875 3207 5345 5625 9621 16035 26725 48105 80175 133625 240525 400875 668125 1142761 1202625 2004375 3428283 5713805 6013125 10284849 17141415 28569025 51424245 85707075 142845125 257121225 428535375 714225625 1285606125 2142676875 6428030625