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41829024 = 2534310133
BaseRepresentation
bin1001111110010…
…0001010100000
32220201010122010
42133210022200
541202012044
64052312520
71015353336
oct237441240
986633563
1041829024
112167a846
1212012740
138887203
1457abb56
153a13bb9
hex27e42a0

41829024 has 48 divisors (see below), whose sum is σ = 112365792. Its totient is φ = 13617408.

The previous prime is 41829023. The next prime is 41829037. The reversal of 41829024 is 42092814.

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

It is a junction number, because it is equal to n+sod(n) for n = 41828982 and 41829000.

It is not an unprimeable number, because it can be changed into a prime (41829023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 939 + ... + 9194.

It is an arithmetic number, because the mean of its divisors is an integer number (2340954).

Almost surely, 241829024 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 41829024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56182896).

41829024 is an abundant number, since it is smaller than the sum of its proper divisors (70536768).

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

41829024 is a wasteful number, since it uses less digits than its factorization.

41829024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10189 (or 10181 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 41829024 is about 6467.5361614760. The cubic root of 41829024 is about 347.1303427263.

The spelling of 41829024 in words is "forty-one million, eight hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 10133 20266 30399 40532 60798 81064 121596 162128 243192 324256 435719 486384 871438 972768 1307157 1742876 2614314 3485752 5228628 6971504 10457256 13943008 20914512 41829024