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4864365025 = 52132292372
BaseRepresentation
bin1001000011111000…
…00101000111100001
3110120000011100100121
410201330011013201
534430234140100
62122404120241
7231354264142
oct44174050741
913500140317
104864365025
112076897493
12b39096081
135c6a1c300
14342075ac9
151d70b351a
hex121f051e1

4864365025 has 81 divisors (see below), whose sum is σ = 6952244481. Its totient is φ = 3374542080.

The previous prime is 4864365019. The next prime is 4864365097. The reversal of 4864365025 is 5205634684.

The square root of 4864365025 is 69745.

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

It can be written as a sum of positive squares in 40 ways, for example, as 4850704609 + 13660416 = 69647^2 + 3696^2 .

It is a de Polignac number, because none of the positive numbers 2k-4864365025 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 131469307 + ... + 131469343.

Almost surely, 24864365025 is an apocalyptic number.

4864365025 is the 69745-th square number.

4864365025 is the 34873-rd centered octagonal number.

It is an amenable number.

4864365025 is a deficient number, since it is larger than the sum of its proper divisors (2087879456).

4864365025 is a wasteful number, since it uses less digits than its factorization.

4864365025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The cubic root of 4864365025 is about 1694.3718170031.

The spelling of 4864365025 in words is "four billion, eight hundred sixty-four million, three hundred sixty-five thousand, twenty-five".

Divisors: 1 5 13 25 29 37 65 145 169 185 325 377 481 725 841 845 925 1073 1369 1885 2405 4205 4225 4901 5365 6253 6845 9425 10933 12025 13949 17797 21025 24505 26825 31117 31265 34225 39701 54665 69745 88985 122525 142129 155585 156325 181337 198505 231361 273325 348725 404521 444925 516113 710645 777925 906685 992525 1151329 1156805 2022605 2580565 3553225 4533425 5258773 5756645 5784025 6709469 10113025 12902825 14967277 26293865 28783225 33547345 74836385 131469325 167736725 194574601 374181925 972873005 4864365025