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4048140625 = 565092
BaseRepresentation
bin1111000101001001…
…1011100101010001
3101110010021211222021
43301102123211101
531242311000000
61505405411441
7202213425154
oct36122334521
911403254867
104048140625
111798084a71
1294b869b81
134c68a86a9
142a58c5c9b
1518a5d411a
hexf149b951

4048140625 has 21 divisors (see below), whose sum is σ = 5070071821. Its totient is φ = 3232150000.

The previous prime is 4048140619. The next prime is 4048140637. The reversal of 4048140625 is 5260418404.

The square root of 4048140625 is 63625.

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

4048140625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 4017404689 + 30735936 = 63383^2 + 5544^2 .

It is not a de Polignac number, because 4048140625 - 215 = 4048107857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7952871 + ... + 7953379.

Almost surely, 24048140625 is an apocalyptic number.

4048140625 is the 63625-th square number.

4048140625 is the 31813-rd centered octagonal number.

It is an amenable number.

4048140625 is a deficient number, since it is larger than the sum of its proper divisors (1021931196).

4048140625 is an frugal number, since it uses more digits than its factorization.

4048140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The cubic root of 4048140625 is about 1593.7438805353.

The spelling of 4048140625 in words is "four billion, forty-eight million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 509 625 2545 3125 12725 15625 63625 259081 318125 1295405 1590625 6477025 7953125 32385125 161925625 809628125 4048140625