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41308064 = 257296359
BaseRepresentation
bin1001110110010…
…0111110100000
32212201200000022
42131210332200
541033324224
64033213012
71011053450
oct235447640
985650008
1041308064
11213543a6
1211a01168
138734055
1456b3d60
15395e65e
hex2764fa0

41308064 has 48 divisors (see below), whose sum is σ = 96163200. Its totient is φ = 17090304.

The previous prime is 41308063. The next prime is 41308081. The reversal of 41308064 is 46080314.

41308064 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 (41308061) 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, 3317 + ... + 9675.

It is an arithmetic number, because the mean of its divisors is an integer number (2003400).

Almost surely, 241308064 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 41308064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48081600).

41308064 is an abundant number, since it is smaller than the sum of its proper divisors (54855136).

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

41308064 is a wasteful number, since it uses less digits than its factorization.

41308064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6405 (or 6397 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 41308064 is about 6427.1349760216. The cubic root of 41308064 is about 345.6832054177.

Adding to 41308064 its reverse (46080314), we get a palindrome (87388378).

The spelling of 41308064 in words is "forty-one million, three hundred eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6359 6496 12718 25436 44513 50872 89026 101744 178052 184411 203488 356104 368822 712208 737644 1290877 1424416 1475288 2581754 2950576 5163508 5901152 10327016 20654032 41308064