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8380487025 = 32521723592
BaseRepresentation
bin1111100111000010…
…00001010101110001
3210122001100211222100
413303201001111301
5114130401041100
63503330531013
7414450651531
oct76341012561
923561324870
108380487025
113610625a39
12175a736a69
13a37311b81
1459702d4c1
15340b07400
hex1f3841571

8380487025 has 81 divisors (see below), whose sum is σ = 15989825761. Its totient is φ = 4194958080.

The previous prime is 8380486993. The next prime is 8380487039. The reversal of 8380487025 is 5207840838.

The square root of 8380487025 is 91545.

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

8380487025 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 196028001 + 8184459024 = 14001^2 + 90468^2 .

It is not a de Polignac number, because 8380487025 - 25 = 8380486993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23343796 + ... + 23344154.

Almost surely, 28380487025 is an apocalyptic number.

8380487025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8380487025 is the 91545-th square number.

8380487025 is the 45773-rd centered octagonal number.

It is an amenable number.

8380487025 is a deficient number, since it is larger than the sum of its proper divisors (7609338736).

8380487025 is a wasteful number, since it uses less digits than its factorization.

8380487025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The cubic root of 8380487025 is about 2031.2174522280.

The spelling of 8380487025 in words is "eight billion, three hundred eighty million, four hundred eighty-seven thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 289 359 425 765 867 1077 1275 1445 1795 2601 3231 3825 4335 5385 6103 7225 8975 13005 16155 18309 21675 26925 30515 54927 65025 80775 91545 103751 128881 152575 274635 311253 386643 457725 518755 644405 933759 1159929 1373175 1556265 1933215 2190977 2593775 3222025 4668795 5799645 6572931 7781325 9666075 10954885 19718793 23343975 28998225 32864655 37246609 54774425 98593965 111739827 164323275 186233045 335219481 492969825 558699135 931165225 1676097405 2793495675 8380487025