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4882515625 = 56132432
BaseRepresentation
bin1001000110000010…
…10100011010101001
3110121021022111022001
410203001110122221
534444411000000
62124253131001
7231664461301
oct44301243251
913537274261
104882515625
112086064289
12b43189a61
135ca705a00
1434463c601
151d899b46a
hex1230546a9

4882515625 has 63 divisors (see below), whose sum is σ = 6765909489. Its totient is φ = 3521700000.

The previous prime is 4882515623. The next prime is 4882515629. The reversal of 4882515625 is 5265152884.

The square root of 4882515625 is 69875.

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

It can be written as a sum of positive squares in 10 ways, for example, as 2290483881 + 2592031744 = 47859^2 + 50912^2 .

It is not a de Polignac number, because 4882515625 - 21 = 4882515623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4882515623) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 113546854 + ... + 113546896.

Almost surely, 24882515625 is an apocalyptic number.

4882515625 is the 69875-th square number.

4882515625 is the 34938-th centered octagonal number.

It is an amenable number.

4882515625 is a deficient number, since it is larger than the sum of its proper divisors (1883393864).

4882515625 is an frugal number, since it uses more digits than its factorization.

4882515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 61 counting only the distinct ones).

The product of its digits is 768000, while the sum is 46.

The cubic root of 4882515625 is about 1696.4766270518.

The spelling of 4882515625 in words is "four billion, eight hundred eighty-two million, five hundred fifteen thousand, six hundred twenty-five".

Divisors: 1 5 13 25 43 65 125 169 215 325 559 625 845 1075 1625 1849 2795 3125 4225 5375 7267 8125 9245 13975 15625 21125 24037 26875 36335 40625 46225 69875 105625 120185 134375 181675 203125 231125 312481 349375 528125 600925 671875 908375 1155625 1562405 1746875 2640625 3004625 4541875 5778125 7812025 8734375 15023125 22709375 28890625 39060125 75115625 113546875 195300625 375578125 976503125 4882515625