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41929248 = 2531094007
BaseRepresentation
bin1001111111110…
…0101000100000
32220220020010010
42133330220200
541213213443
64054404520
71016251464
oct237745040
986806103
1041929248
1121739079
1212060740
1388c0a0a
1457d64a4
153a33733
hex27fca20

41929248 has 48 divisors (see below), whose sum is σ = 111101760. Its totient is φ = 13844736.

The previous prime is 41929247. The next prime is 41929249. The reversal of 41929248 is 84292914.

41929248 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 (41929247) and next prime (41929249).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (41929243) 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, 8461 + ... + 12467.

It is an arithmetic number, because the mean of its divisors is an integer number (2314620).

Almost surely, 241929248 is an apocalyptic number.

41929248 is a gapful number since it is divisible by the number (48) 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 41929248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55550880).

41929248 is an abundant number, since it is smaller than the sum of its proper divisors (69172512).

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

41929248 is a wasteful number, since it uses less digits than its factorization.

41929248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4121 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 41929248 is about 6475.2797622960. The cubic root of 41929248 is about 347.4073676113.

The spelling of 41929248 in words is "forty-one million, nine hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1744 2616 3488 4007 5232 8014 10464 12021 16028 24042 32056 48084 64112 96168 128224 192336 384672 436763 873526 1310289 1747052 2620578 3494104 5241156 6988208 10482312 13976416 20964624 41929248