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3249224525 = 52293732
BaseRepresentation
bin1100000110101011…
…0011101101001101
322101102222201010002
43001222303231031
523123300141100
61254230054045
7143342644541
oct30152635515
98342881102
103249224525
111418114528
127681aa325
133ca214c81
1422b75da21
151403c32d5
hexc1ab3b4d

3249224525 has 36 divisors (see below), whose sum is σ = 4230873180. Its totient is φ = 2475365760.

The previous prime is 3249224509. The next prime is 3249224543. The reversal of 3249224525 is 5254229423.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 18 ways, for example, as 2856154249 + 393070276 = 53443^2 + 19826^2 .

It is not a de Polignac number, because 3249224525 - 24 = 3249224509 is a prime.

It is a super-2 number, since 2×32492245252 = 21114920027722951250, which contains 22 as substring.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 44509889 + ... + 44509961.

It is an arithmetic number, because the mean of its divisors is an integer number (117524255).

Almost surely, 23249224525 is an apocalyptic number.

It is an amenable number.

3249224525 is a deficient number, since it is larger than the sum of its proper divisors (981648655).

3249224525 is an frugal number, since it uses more digits than its factorization.

3249224525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 107 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 3249224525 is about 57001.9694835187. The cubic root of 3249224525 is about 1481.1302124404.

The spelling of 3249224525 in words is "three billion, two hundred forty-nine million, two hundred twenty-four thousand, five hundred twenty-five".

Divisors: 1 5 25 29 73 145 365 725 841 1825 2117 4205 5329 10585 21025 24389 26645 52925 61393 121945 133225 154541 306965 609725 772705 1534825 1780397 3863525 4481689 8901985 22408445 44509925 112042225 129968981 649844905 3249224525