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430770025 = 52725932
BaseRepresentation
bin11001101011010…
…000011101101001
31010000120101101101
4121223100131221
51340234120100
6110424521401
713450325200
oct3153203551
91100511341
10430770025
11201181994
12100320261
136b325c0a
14412d4237
1527c4086a
hex19ad0769

430770025 has 27 divisors (see below), whose sum is σ = 622413381. Its totient is φ = 294887040.

The previous prime is 430769981. The next prime is 430770029. The reversal of 430770025 is 520077034.

The square root of 430770025 is 20755.

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

It can be written as a sum of positive squares in 4 ways, for example, as 290521 + 430479504 = 539^2 + 20748^2 .

It is not a de Polignac number, because 430770025 - 27 = 430769897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 430769975 and 430770002.

It is not an unprimeable number, because it can be changed into a prime (430770029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 726129 + ... + 726721.

Almost surely, 2430770025 is an apocalyptic number.

430770025 is the 20755-th square number.

430770025 is the 10378-th centered octagonal number.

It is an amenable number.

430770025 is a deficient number, since it is larger than the sum of its proper divisors (191643356).

430770025 is an frugal number, since it uses more digits than its factorization.

430770025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The cubic root of 430770025 is about 755.2345075077.

The spelling of 430770025 in words is "four hundred thirty million, seven hundred seventy thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 593 1225 2965 4151 14825 20755 29057 103775 145285 351649 726425 1758245 2461543 8791225 12307715 17230801 61538575 86154005 430770025