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41890912 = 2572347173
BaseRepresentation
bin1001111111001…
…1010001100000
32220211021112021
42133303101200
541211002122
64053511224
71016031640
oct237632140
986737467
1041890912
1121712298
1212042514
1388a942b
1457c6520
153a271c7
hex27f3460

41890912 has 96 divisors (see below), whose sum is σ = 101025792. Its totient is φ = 16710144.

The previous prime is 41890859. The next prime is 41890913. The reversal of 41890912 is 21909814.

41890912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41890913) 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 15 ways as a sum of consecutive naturals, for example, 242058 + ... + 242230.

It is an arithmetic number, because the mean of its divisors is an integer number (1052352).

Almost surely, 241890912 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 41890912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50512896).

41890912 is an abundant number, since it is smaller than the sum of its proper divisors (59134880).

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

41890912 is a wasteful number, since it uses less digits than its factorization.

41890912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 41890912 is about 6472.3189043804. The cubic root of 41890912 is about 347.3014568967.

The spelling of 41890912 in words is "forty-one million, eight hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 47 56 92 94 112 161 173 184 188 224 322 329 346 368 376 644 658 692 736 752 1081 1211 1288 1316 1384 1504 2162 2422 2576 2632 2768 3979 4324 4844 5152 5264 5536 7567 7958 8131 8648 9688 10528 15134 15916 16262 17296 19376 27853 30268 31832 32524 34592 38752 55706 56917 60536 63664 65048 111412 113834 121072 127328 130096 187013 222824 227668 242144 260192 374026 445648 455336 748052 891296 910672 1309091 1496104 1821344 2618182 2992208 5236364 5984416 10472728 20945456 41890912