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41625 = 325337
BaseRepresentation
bin1010001010011001
32010002200
422022121
52313000
6520413
7232233
oct121231
963080
1041625
1129301
1220109
1315c3c
1411253
15c500
hexa299

41625 has 24 divisors (see below), whose sum is σ = 77064. Its totient is φ = 21600.

The previous prime is 41621. The next prime is 41627. The reversal of 41625 is 52614.

It is a happy number.

41625 is a `hidden beast` number, since 41 + 625 = 666.

41625 is digitally balanced in base 6, 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 4 ways, for example, as 9 + 41616 = 3^2 + 204^2 .

It is not a de Polignac number, because 41625 - 22 = 41621 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

41625 is strictly pandigital in base 6.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 41598 and 41607.

It is not an unprimeable number, because it can be changed into a prime (41621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1107 + ... + 1143.

It is an arithmetic number, because the mean of its divisors is an integer number (3211).

241625 is an apocalyptic number.

41625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41625 is a deficient number, since it is larger than the sum of its proper divisors (35439).

41625 is a wasteful number, since it uses less digits than its factorization.

41625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 45 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 41625 is about 204.0220576310. The cubic root of 41625 is about 34.6565038421.

It can be divided in two parts, 416 and 25, that added together give a square (441 = 212).

The spelling of 41625 in words is "forty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 125 185 225 333 375 555 925 1125 1665 2775 4625 8325 13875 41625