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44464064 = 2643107151
BaseRepresentation
bin1010100110011…
…1011111000000
310002200000020012
42221213133000
542340322224
64225004052
71046636561
oct251473700
9102600205
1044464064
112310a567
1212a83628
13929a6c8
145c96168
153d8480e
hex2a677c0

44464064 has 56 divisors (see below), whose sum is σ = 91732608. Its totient is φ = 21369600.

The previous prime is 44464033. The next prime is 44464067. The reversal of 44464064 is 46046444.

44464064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 44464064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44464067) 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, 294389 + ... + 294539.

Almost surely, 244464064 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 44464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45866304).

44464064 is an abundant number, since it is smaller than the sum of its proper divisors (47268544).

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

44464064 is a wasteful number, since it uses less digits than its factorization.

44464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 44464064 is about 6668.1379709781. The cubic root of 44464064 is about 354.2716376152.

The spelling of 44464064 in words is "forty-four million, four hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 43 64 86 107 151 172 214 302 344 428 604 688 856 1208 1376 1712 2416 2752 3424 4601 4832 6493 6848 9202 9664 12986 16157 18404 25972 32314 36808 51944 64628 73616 103888 129256 147232 207776 258512 294464 415552 517024 694751 1034048 1389502 2779004 5558008 11116016 22232032 44464064