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3852625 = 53721737
BaseRepresentation
bin1110101100100101010001
321020201210211
432230211101
51441241000
6214324121
744514100
oct16544521
97221724
103852625
1121a1597
121359641
13a4b77a
14724037
155117ba
hex3ac951

3852625 has 48 divisors (see below), whose sum is σ = 6082128. Its totient is φ = 2419200.

The previous prime is 3852601. The next prime is 3852631. The reversal of 3852625 is 5262583.

It is a happy number.

3852625 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 8 ways, for example, as 200704 + 3651921 = 448^2 + 1911^2 .

It is not a de Polignac number, because 3852625 - 213 = 3844433 is a prime.

It is a d-powerful number, because it can be written as 311 + 86 + 54 + 217 + 67 + 220 + 59 .

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 104107 + ... + 104143.

It is an arithmetic number, because the mean of its divisors is an integer number (126711).

Almost surely, 23852625 is an apocalyptic number.

3852625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3852625 is a deficient number, since it is larger than the sum of its proper divisors (2229503).

3852625 is a wasteful number, since it uses less digits than its factorization.

3852625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 66 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 3852625 is about 1962.8104849934. The cubic root of 3852625 is about 156.7661332044.

The spelling of 3852625 in words is "three million, eight hundred fifty-two thousand, six hundred twenty-five".

Divisors: 1 5 7 17 25 35 37 49 85 119 125 175 185 245 259 425 595 629 833 875 925 1225 1295 1813 2125 2975 3145 4165 4403 4625 6125 6475 9065 14875 15725 20825 22015 30821 32375 45325 78625 104125 110075 154105 226625 550375 770525 3852625