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44328064 = 2711191657
BaseRepresentation
bin1010100100011…
…0010010000000
310002102002200011
42221012102000
542321444224
64222034304
71045532224
oct251062200
9102362604
1044328064
1123027370
1212a18994
139250831
145c5c784
153d59394
hex2a46480

44328064 has 64 divisors (see below), whose sum is σ = 101469600. Its totient is φ = 19077120.

The previous prime is 44328049. The next prime is 44328077. The reversal of 44328064 is 46082344.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25924 + ... + 27580.

Almost surely, 244328064 is an apocalyptic number.

44328064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50734800).

44328064 is an abundant number, since it is smaller than the sum of its proper divisors (57141536).

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

44328064 is a wasteful number, since it uses less digits than its factorization.

44328064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 44328064 is about 6657.9324117927. The cubic root of 44328064 is about 353.9100711059.

It can be divided in two parts, 443280 and 64, that added together give a palindrome (443344).

The spelling of 44328064 in words is "forty-four million, three hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 704 836 1216 1408 1657 1672 2432 3314 3344 6628 6688 13256 13376 18227 26512 26752 31483 36454 53024 62966 72908 106048 125932 145816 212096 251864 291632 346313 503728 583264 692626 1007456 1166528 1385252 2014912 2333056 2770504 4029824 5541008 11082016 22164032 44328064