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11257625 = 53113797
BaseRepresentation
bin101010111100…
…011100011001
3210011221120002
4222330130121
510340221000
61041142345
7164455031
oct52743431
923157502
1011257625
11639a025
12392a9b5
132442122
1416d08c1
15ec58d5
hexabc719

11257625 has 16 divisors (see below), whose sum is σ = 14191632. Its totient is φ = 8915200.

The previous prime is 11257573. The next prime is 11257627. The reversal of 11257625 is 52675211.

11257625 is digitally balanced in base 3, 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 7333264 + 3924361 = 2708^2 + 1981^2 .

It is not a de Polignac number, because 11257625 - 28 = 11257369 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11257627) 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 15 ways as a sum of consecutive naturals, for example, 13727 + ... + 14523.

It is an arithmetic number, because the mean of its divisors is an integer number (886977).

Almost surely, 211257625 is an apocalyptic number.

It is an amenable number.

11257625 is a deficient number, since it is larger than the sum of its proper divisors (2934007).

11257625 is an equidigital number, since it uses as much as digits as its factorization.

11257625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 915 counting only the distinct ones).

The product of its digits is 4200, while the sum is 29.

The square root of 11257625 is about 3355.2384416014. The cubic root of 11257625 is about 224.1208491709.

The spelling of 11257625 in words is "eleven million, two hundred fifty-seven thousand, six hundred twenty-five".

Divisors: 1 5 25 113 125 565 797 2825 3985 14125 19925 90061 99625 450305 2251525 11257625