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430854396025 = 52434712
BaseRepresentation
bin1100100010100001110…
…11000101100001111001
31112012002222120002101011
412101100323011201321
524024342211133100
6525533132553521
743061654640244
oct6212073054171
91465088502334
10430854396025
111567a708a849
126b6043228a1
1331824a20601
1416bd3c9625b
15b31a541bba
hex6450ec5879

430854396025 has 45 divisors (see below), whose sum is σ = 554792359103. Its totient is φ = 331925823600.

The previous prime is 430854396013. The next prime is 430854396061. The reversal of 430854396025 is 520693458034.

The square root of 430854396025 is 656395.

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

It can be written as a sum of positive squares in only one way, i.e., 155107582569 + 275746813456 = 393837^2 + 525116^2 .

It is not a de Polignac number, because 430854396025 - 27 = 430854395897 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 430854396025.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6068371740 + ... + 6068371810.

Almost surely, 2430854396025 is an apocalyptic number.

430854396025 is the 656395-th square number.

430854396025 is the 328198-th centered octagonal number.

It is an amenable number.

430854396025 is a deficient number, since it is larger than the sum of its proper divisors (123937963078).

430854396025 is an frugal number, since it uses more digits than its factorization.

430854396025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 49.

Multiplying 430854396025 by its sum of digits (49), we get a square (21111865405225 = 45947652).

The spelling of 430854396025 in words is "four hundred thirty billion, eight hundred fifty-four million, three hundred ninety-six thousand, twenty-five".

Divisors: 1 5 25 43 71 215 355 1075 1775 1849 3053 5041 9245 15265 25205 46225 76325 79507 126025 131279 216763 397535 656395 1083815 1987675 3281975 3418801 5419075 5644997 9320809 17094005 28224985 46604045 85470025 141124925 233020225 242734871 400794787 1213674355 2003973935 6068371775 10019869675 17234175841 86170879205 430854396025