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8395140625 = 567332
BaseRepresentation
bin1111101000110001…
…11010111000010001
3210200001221022221021
413310120322320101
5114143124000000
63505012555441
7415016342434
oct76430727021
923601838837
108395140625
113618924453
121763622b81
13a3a372941
14598d6581b
1534204e11a
hex1f463ae11

8395140625 has 21 divisors (see below), whose sum is σ = 10508127213. Its totient is φ = 6706950000.

The previous prime is 8395140613. The next prime is 8395140631. The reversal of 8395140625 is 5260415938.

The square root of 8395140625 is 91625.

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

It can be written as a sum of positive squares in 10 ways, for example, as 8024038929 + 371101696 = 89577^2 + 19264^2 .

It is a de Polignac number, because none of the positive numbers 2k-8395140625 is a prime.

It is a super-2 number, since 2×83951406252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 11452759 + ... + 11453491.

Almost surely, 28395140625 is an apocalyptic number.

8395140625 is the 91625-th square number.

8395140625 is the 45813-rd centered octagonal number.

It is an amenable number.

8395140625 is a deficient number, since it is larger than the sum of its proper divisors (2112986588).

8395140625 is an frugal number, since it uses more digits than its factorization.

8395140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The cubic root of 8395140625 is about 2032.4006498391.

The spelling of 8395140625 in words is "eight billion, three hundred ninety-five million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 733 3125 3665 15625 18325 91625 458125 537289 2290625 2686445 11453125 13432225 67161125 335805625 1679028125 8395140625