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41825504 = 257613061
BaseRepresentation
bin1001111110001…
…1010011100000
32220200221210202
42133203103200
541201404004
64052244332
71015340150
oct237432340
986627722
1041825504
1121678136
12120106a8
138885726
1457aa760
153a12b1e
hex27e34e0

41825504 has 48 divisors (see below), whose sum is σ = 95681376. Its totient is φ = 17625600.

The previous prime is 41825501. The next prime is 41825507. The reversal of 41825504 is 40552814.

41825504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41825501) and next prime (41825507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41825501) 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 7 ways as a sum of consecutive naturals, for example, 12134 + ... + 15194.

It is an arithmetic number, because the mean of its divisors is an integer number (1993362).

Almost surely, 241825504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41825504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47840688).

41825504 is an abundant number, since it is smaller than the sum of its proper divisors (53855872).

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

41825504 is a wasteful number, since it uses less digits than its factorization.

41825504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 41825504 is about 6467.2640273921. The cubic root of 41825504 is about 347.1206052046.

The spelling of 41825504 in words is "forty-one million, eight hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1708 1952 3061 3416 6122 6832 12244 13664 21427 24488 42854 48976 85708 97952 171416 186721 342832 373442 685664 746884 1307047 1493768 2614094 2987536 5228188 5975072 10456376 20912752 41825504