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41288125 = 54312131
BaseRepresentation
bin1001110110000…
…0000110111101
32212200122122211
42131200012331
541032210000
64032540421
71010641354
oct235400675
985618584
1041288125
112134041a
12119b1711
138727c58
1456aa99b
1539587ba
hex27601bd

41288125 has 20 divisors (see below), whose sum is σ = 53282944. Its totient is φ = 31950000.

The previous prime is 41288119. The next prime is 41288129. The reversal of 41288125 is 52188214.

41288125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41288125 - 29 = 41287613 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41288129) 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 19 ways as a sum of consecutive naturals, for example, 18310 + ... + 20440.

Almost surely, 241288125 is an apocalyptic number.

It is an amenable number.

41288125 is a deficient number, since it is larger than the sum of its proper divisors (11994819).

41288125 is an equidigital number, since it uses as much as digits as its factorization.

41288125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2167 counting only the distinct ones).

The product of its digits is 5120, while the sum is 31.

The square root of 41288125 is about 6425.5836310797. The cubic root of 41288125 is about 345.6275771613.

The spelling of 41288125 in words is "forty-one million, two hundred eighty-eight thousand, one hundred twenty-five".

Divisors: 1 5 25 31 125 155 625 775 2131 3875 10655 19375 53275 66061 266375 330305 1331875 1651525 8257625 41288125