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3093028225 = 52742272
BaseRepresentation
bin1011100001011011…
…1101110110000001
321222120002010001221
42320112331312001
522313303400400
61230530155041
7136435210000
oct27026756601
97876063057
103093028225
111347a2a981
12723a22a81
133a3a56921
14214b00c37
1513181cc1a
hexb85bdd81

3093028225 has 45 divisors (see below), whose sum is σ = 4494112067. Its totient is φ = 2111590320.

The previous prime is 3093028207. The next prime is 3093028277. The reversal of 3093028225 is 5228203903.

The square root of 3093028225 is 55615.

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., 1113490161 + 1979538064 = 33369^2 + 44492^2 .

It is not a de Polignac number, because 3093028225 - 223 = 3084639617 is a prime.

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 44 ways as a sum of consecutive naturals, for example, 13625562 + ... + 13625788.

Almost surely, 23093028225 is an apocalyptic number.

3093028225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3093028225 is the 55615-th square number.

3093028225 is the 27808-th centered octagonal number.

It is an amenable number.

3093028225 is a deficient number, since it is larger than the sum of its proper divisors (1401083842).

3093028225 is an frugal number, since it uses more digits than its factorization.

3093028225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The cubic root of 3093028225 is about 1457.0058462080.

The spelling of 3093028225 in words is "three billion, ninety-three million, twenty-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 227 245 343 1135 1225 1589 1715 2401 5675 7945 8575 11123 12005 39725 51529 55615 60025 77861 257645 278075 360703 389305 545027 1288225 1803515 1946525 2524921 2725135 9017575 12624605 13625675 17674447 63123025 88372235 123721129 441861175 618605645 3093028225