Search a number
-
+
44036064 = 25321071429
BaseRepresentation
bin1010011111111…
…0111111100000
310001212021010100
42213332333200
542233123224
64211502400
71043205012
oct247767740
9101767110
1044036064
1122947a46
12128b7a00
13917a957
145bc41b2
153cecac9
hex29fefe0

44036064 has 72 divisors (see below), whose sum is σ = 126486360. Its totient is φ = 14531328.

The previous prime is 44036051. The next prime is 44036087. The reversal of 44036064 is 46063044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×440360642 = 3878349865224192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30102 + ... + 31530.

It is an arithmetic number, because the mean of its divisors is an integer number (1756755).

Almost surely, 244036064 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 44036064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63243180).

44036064 is an abundant number, since it is smaller than the sum of its proper divisors (82450296).

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

44036064 is a wasteful number, since it uses less digits than its factorization.

44036064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 44036064 is about 6635.9674501914. The cubic root of 44036064 is about 353.1312605881.

The spelling of 44036064 in words is "forty-four million, thirty-six thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1429 1712 1926 2568 2858 3424 3852 4287 5136 5716 7704 8574 10272 11432 12861 15408 17148 22864 25722 30816 34296 45728 51444 68592 102888 137184 152903 205776 305806 411552 458709 611612 917418 1223224 1376127 1834836 2446448 2752254 3669672 4892896 5504508 7339344 11009016 14678688 22018032 44036064