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3934425625 = 541321932
BaseRepresentation
bin1110101010000010…
…1001001000011001
3101011012022112022121
43222200221020121
531024203110000
61450224221241
7166333031434
oct35240511031
911135275277
103934425625
111739976229
1291976a821
134a9172400
1429476481b
15180620b1a
hexea829219

3934425625 has 45 divisors (see below), whose sum is σ = 5351465889. Its totient is φ = 2890368000.

The previous prime is 3934425623. The next prime is 3934425629. The reversal of 3934425625 is 5265244393.

The square root of 3934425625 is 62725.

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

It can be written as a sum of positive squares in 22 ways, for example, as 1349313289 + 2585112336 = 36733^2 + 50844^2 .

It is not a de Polignac number, because 3934425625 - 21 = 3934425623 is a prime.

It is a Duffinian number.

Its product of digits (777600) is a multiple of the sum of its prime factors (432).

It is not an unprimeable number, because it can be changed into a prime (3934425623) 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 44 ways as a sum of consecutive naturals, for example, 20385529 + ... + 20385721.

Almost surely, 23934425625 is an apocalyptic number.

3934425625 is the 62725-th square number.

3934425625 is the 31363-rd centered octagonal number.

It is an amenable number.

3934425625 is a deficient number, since it is larger than the sum of its proper divisors (1417040264).

3934425625 is an frugal number, since it uses more digits than its factorization.

3934425625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 211 counting only the distinct ones).

The product of its digits is 777600, while the sum is 43.

The cubic root of 3934425625 is about 1578.6788112814.

The spelling of 3934425625 in words is "three billion, nine hundred thirty-four million, four hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 193 325 625 845 965 1625 2509 4225 4825 8125 12545 21125 24125 32617 37249 62725 105625 120625 163085 186245 313625 484237 815425 931225 1568125 2421185 4077125 4656125 6295081 12105925 20385625 23280625 31475405 60529625 157377025 302648125 786885125 3934425625