Search a number
-
+
3268980625 = 5422872
BaseRepresentation
bin1100001011011000…
…1010111110010001
322102211011102101111
43002312022332101
523143324340000
61300213333321
7144002606521
oct30266127621
98384142344
103268980625
111428288589
12772937241
13401341381
14230223681
15141ec6cba
hexc2d8af91

3268980625 has 15 divisors (see below), whose sum is σ = 4086705117. Its totient is φ = 2614041000.

The previous prime is 3268980569. The next prime is 3268980629. The reversal of 3268980625 is 5260898623.

The square root of 3268980625 is 57175.

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

3268980625 is digitally balanced in base 2, 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 2 ways, for example, as 256288081 + 3012692544 = 16009^2 + 54888^2 .

It is not a de Polignac number, because 3268980625 - 27 = 3268980497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3268980629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1428232 + ... + 1430518.

Almost surely, 23268980625 is an apocalyptic number.

3268980625 is the 57175-th square number.

3268980625 is the 28588-th centered octagonal number.

It is an amenable number.

3268980625 is a deficient number, since it is larger than the sum of its proper divisors (817724492).

3268980625 is an frugal number, since it uses more digits than its factorization.

3268980625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4594 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The cubic root of 3268980625 is about 1484.1260298961.

Multiplying 3268980625 by its sum of digits (49), we get a square (160180050625 = 4002252).

The spelling of 3268980625 in words is "three billion, two hundred sixty-eight million, nine hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 2287 11435 57175 285875 1429375 5230369 26151845 130759225 653796125 3268980625