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3252505104 = 24342509649
BaseRepresentation
bin1100000111011101…
…0100101000010000
322101200011101020000
43001313110220100
523130120130404
61254424250000
7143412560112
oct30167245020
98350141200
103252505104
111419a55252
12769310900
133caac3244
1422bd753b2
15140820339
hexc1dd4a10

3252505104 has 50 divisors (see below), whose sum is σ = 9413697150. Its totient is φ = 1084167936.

The previous prime is 3252505099. The next prime is 3252505111. The reversal of 3252505104 is 4015052523.

It is a happy number.

3252505104 is a `hidden beast` number, since 3 + 2 + 52 + 505 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1804550400 + 1447954704 = 42480^2 + 38052^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 1253529 + ... + 1256120.

It is an arithmetic number, because the mean of its divisors is an integer number (188273943).

Almost surely, 23252505104 is an apocalyptic number.

It is an amenable number.

3252505104 is an abundant number, since it is smaller than the sum of its proper divisors (6161192046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3252505104 is a wasteful number, since it uses less digits than its factorization.

3252505104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509669 (or 2509654 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 3252505104 is about 57030.7382382518. The cubic root of 3252505104 is about 1481.6285190636.

Adding to 3252505104 its reverse (4015052523), we get a palindrome (7267557627).

The spelling of 3252505104 in words is "three billion, two hundred fifty-two million, five hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2509649 5019298 7528947 10038596 15057894 20077192 22586841 30115788 40154384 45173682 60231576 67760523 90347364 120463152 135521046 180694728 203281569 271042092 361389456 406563138 542084184 813126276 1084168368 1626252552 3252505104