Search a number
-
+
290300052025 = 5219725472
BaseRepresentation
bin1000011100101110011…
…10110100001000111001
31000202022111202121121201
410032113032310020321
514224013303131100
6341210105334201
726654622504544
oct4162716641071
91022274677551
10290300052025
1110212a8a1875
1248318a97361
13214b5359b19
141009cba785b
157840d2036a
hex43973b4239

290300052025 has 27 divisors (see below), whose sum is σ = 362471260269. Its totient is φ = 230638742880.

The previous prime is 290300052019. The next prime is 290300052073. The reversal of 290300052025 is 520250003092.

The square root of 290300052025 is 538795.

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 66941730361 + 223358321664 = 258731^2 + 472608^2 .

It is a de Polignac number, because none of the positive numbers 2k-290300052025 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 290300051984 and 290300052002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 530712802 + ... + 530713348.

Almost surely, 2290300052025 is an apocalyptic number.

290300052025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

290300052025 is the 538795-th square number.

290300052025 is the 269398-th centered octagonal number.

It is an amenable number.

290300052025 is a deficient number, since it is larger than the sum of its proper divisors (72171208244).

290300052025 is an frugal number, since it uses more digits than its factorization.

290300052025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 290300052025 in words is "two hundred ninety billion, three hundred million, fifty-two thousand, twenty-five".

Divisors: 1 5 25 197 547 985 2735 4925 13675 38809 107759 194045 299209 538795 970225 1496045 2693975 7480225 21228523 58944173 106142615 294720865 530713075 1473604325 11612002081 58060010405 290300052025