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1838265625 = 5676
BaseRepresentation
bin110110110010001…
…1011010100011001
311202010000120101001
41231210123110121
512231044000000
6502224225001
763361000000
oct15544332431
94663016331
101838265625
11863720199
1243376b161
13233aca351
141361d7c37
15ab5b646a
hex6d91b519

1838265625 has 49 divisors (see below), whose sum is σ = 2680766467. Its totient is φ = 1260525000.

The previous prime is 1838265623. The next prime is 1838265647. The reversal of 1838265625 is 5265628381.

The square root of 1838265625 is 42875.

The cubic root of 1838265625 is 1225.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 1610497161 + 227768464 = 40131^2 + 15092^2 .

It is a tau number, because it is divible by the number of its divisors (49).

It is not a de Polignac number, because 1838265625 - 21 = 1838265623 is a prime.

It is a Duffinian number.

Its product of digits (691200) is a multiple of the sum of its prime divisors (12).

It is not an unprimeable number, because it can be changed into a prime (1838265623) by changing a digit.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 262609372 + ... + 262609378.

Almost surely, 21838265625 is an apocalyptic number.

1838265625 is the 42875-th square number.

1838265625 is the 21438-th centered octagonal number.

It is an amenable number.

1838265625 is a deficient number, since it is larger than the sum of its proper divisors (842500842).

1838265625 is an frugal number, since it uses more digits than its factorization.

1838265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 12 counting only the distinct ones).

The product of its digits is 691200, while the sum is 46.

The spelling of 1838265625 in words is "one billion, eight hundred thirty-eight million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 343 625 875 1225 1715 2401 3125 4375 6125 8575 12005 15625 16807 21875 30625 42875 60025 84035 109375 117649 153125 214375 300125 420175 588245 765625 1071875 1500625 2100875 2941225 5359375 7503125 10504375 14706125 37515625 52521875 73530625 262609375 367653125 1838265625