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41304064 = 2142521
BaseRepresentation
bin1001110110010…
…0000000000000
32212201110112011
42131210000000
541033212224
64033142304
71011036004
oct235440000
985643464
1041304064
112135139a
12119ba994
138732299
1456b2704
15395d394
hex2764000

41304064 has 30 divisors (see below), whose sum is σ = 82638374. Its totient is φ = 20643840.

The previous prime is 41304061. The next prime is 41304077. The reversal of 41304064 is 46040314.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 21233664 + 20070400 = 4608^2 + 4480^2 .

It is not an unprimeable number, because it can be changed into a prime (41304061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15124 + ... + 17644.

Almost surely, 241304064 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 41304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41319187).

41304064 is an abundant number, since it is smaller than the sum of its proper divisors (41334310).

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

41304064 is an frugal number, since it uses more digits than its factorization.

41304064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 41304064 is about 6426.8237878442. The cubic root of 41304064 is about 345.6720471649.

Adding to 41304064 its reverse (46040314), we get a palindrome (87344378).

The spelling of 41304064 in words is "forty-one million, three hundred four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2521 4096 5042 8192 10084 16384 20168 40336 80672 161344 322688 645376 1290752 2581504 5163008 10326016 20652032 41304064