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3900625 = 54792
BaseRepresentation
bin1110111000010011010001
321100011122121
432320103101
51444310000
6215334241
745104041
oct16702321
97304577
103900625
112224663
121381381
13a67581
14737721
15520b1a
hex3b84d1

3900625 has 15 divisors (see below), whose sum is σ = 4936701. Its totient is φ = 3081000.

The previous prime is 3900623. The next prime is 3900649. The reversal of 3900625 is 5260093.

The square root of 3900625 is 1975.

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

3900625 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 2 ways, for example, as 305809 + 3594816 = 553^2 + 1896^2 .

It is not a de Polignac number, because 3900625 - 21 = 3900623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3900625.

It is not an unprimeable number, because it can be changed into a prime (3900623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 49336 + ... + 49414.

Almost surely, 23900625 is an apocalyptic number.

3900625 is the 1975-th square number.

3900625 is the 988-th centered octagonal number.

It is an amenable number.

3900625 is a deficient number, since it is larger than the sum of its proper divisors (1036076).

3900625 is an frugal number, since it uses more digits than its factorization.

3900625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The cubic root of 3900625 is about 157.4144996591.

Multiplying 3900625 by its sum of digits (25), we get a square (97515625 = 98752).

3900625 divided by its sum of digits (25) gives a square (156025 = 3952).

The spelling of 3900625 in words is "three million, nine hundred thousand, six hundred twenty-five".

Divisors: 1 5 25 79 125 395 625 1975 6241 9875 31205 49375 156025 780125 3900625