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44045064 = 23327281311
BaseRepresentation
bin1010100000000…
…1001100001000
310001212201110200
42220001030020
542233420224
64212012200
71043243160
oct250011410
9101781420
1044045064
1122953788
1212901060
139181a8b
145bc75a0
153d005c9
hex2a01308

44045064 has 96 divisors (see below), whose sum is σ = 137255040. Its totient is φ = 12499200.

The previous prime is 44045051. The next prime is 44045087. The reversal of 44045064 is 46054044.

It is a congruent number.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 141469 + ... + 141779.

It is an arithmetic number, because the mean of its divisors is an integer number (1429740).

Almost surely, 244045064 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 44045064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68627520).

44045064 is an abundant number, since it is smaller than the sum of its proper divisors (93209976).

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

44045064 is a wasteful number, since it uses less digits than its factorization.

44045064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 44045064 is about 6636.6455382219. The cubic root of 44045064 is about 353.1553163624.

The spelling of 44045064 in words is "forty-four million, forty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 281 311 504 562 622 843 933 1124 1244 1686 1866 1967 2177 2248 2488 2529 2799 3372 3732 3934 4354 5058 5598 5901 6531 6744 7464 7868 8708 10116 11196 11802 13062 15736 17416 17703 19593 20232 22392 23604 26124 35406 39186 47208 52248 70812 78372 87391 141624 156744 174782 262173 349564 524346 611737 699128 786519 1048692 1223474 1573038 1835211 2097384 2446948 3146076 3670422 4893896 5505633 6292152 7340844 11011266 14681688 22022532 44045064