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41404096 = 263141509
BaseRepresentation
bin1001110111110…
…0011011000000
32212220112202001
42131330123000
541044412341
64035233344
71011633436
oct235743300
985815661
1041404096
112140a568
1211a48854
138768986
1456dad56
15397cd31
hex277c6c0

41404096 has 56 divisors (see below), whose sum is σ = 87050880. Its totient is φ = 19507200.

The previous prime is 41404093. The next prime is 41404201. The reversal of 41404096 is 69040414.

41404096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41404091) 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, 81090 + ... + 81598.

It is an arithmetic number, because the mean of its divisors is an integer number (1554480).

Almost surely, 241404096 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 41404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43525440).

41404096 is an abundant number, since it is smaller than the sum of its proper divisors (45646784).

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

41404096 is a wasteful number, since it uses less digits than its factorization.

41404096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 41404096 is about 6434.6014639603. The cubic root of 41404096 is about 345.9508767843.

The spelling of 41404096 in words is "forty-one million, four hundred four thousand, ninety-six".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 164 248 328 496 509 656 992 1018 1271 1312 1984 2036 2542 2624 4072 5084 8144 10168 15779 16288 20336 20869 31558 32576 40672 41738 63116 81344 83476 126232 166952 252464 333904 504928 646939 667808 1009856 1293878 1335616 2587756 5175512 10351024 20702048 41404096