Search a number
-
+
290327521 = 11215492
BaseRepresentation
bin10001010011100…
…000101111100001
3202020022011111011
4101103200233201
51043310440041
644450420521
710123512631
oct2123405741
9666264434
10290327521
11139978400
1281291741
13481c2343
142a7b66c1
151a74ce81
hex114e0be1

290327521 has 9 divisors (see below), whose sum is σ = 319326483. Its totient is φ = 263763720.

The previous prime is 290327509. The next prime is 290327539. The reversal of 290327521 is 125723092.

The square root of 290327521 is 17039.

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., 98227921 + 192099600 = 9911^2 + 13860^2 .

It is not a de Polignac number, because 290327521 - 27 = 290327393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (290327021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 186655 + ... + 188203.

Almost surely, 2290327521 is an apocalyptic number.

290327521 is the 17039-th square number.

290327521 is the 8520-th centered octagonal number.

It is an amenable number.

290327521 is a deficient number, since it is larger than the sum of its proper divisors (28998962).

290327521 is an frugal number, since it uses more digits than its factorization.

290327521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The cubic root of 290327521 is about 662.1596845248.

The spelling of 290327521 in words is "two hundred ninety million, three hundred twenty-seven thousand, five hundred twenty-one".

Divisors: 1 11 121 1549 17039 187429 2399401 26393411 290327521