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41825160 = 2335513331
BaseRepresentation
bin1001111110001…
…1001110001000
32220200221100000
42133203032020
541201401120
64052243000
71015336146
oct237431610
986627300
1041825160
1121677953
1212010460
138885520
1457aa596
153a12990
hex27e3388

41825160 has 192 divisors, whose sum is σ = 152268480. Its totient is φ = 10264320.

The previous prime is 41825143. The next prime is 41825167. The reversal of 41825160 is 6152814.

41825160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41825167) 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 47 ways as a sum of consecutive naturals, for example, 126195 + ... + 126525.

It is an arithmetic number, because the mean of its divisors is an integer number (793065).

Almost surely, 241825160 is an apocalyptic number.

41825160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41825160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76134240).

41825160 is an abundant number, since it is smaller than the sum of its proper divisors (110443320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41825160 is a wasteful number, since it uses less digits than its factorization.

41825160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 41825160 is about 6467.2374318560. The cubic root of 41825160 is about 347.1196535539.

Adding to 41825160 its reverse (6152814), we get a palindrome (47977974).

The spelling of 41825160 in words is "forty-one million, eight hundred twenty-five thousand, one hundred sixty".