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44164032 = 2631121901
BaseRepresentation
bin1010100001111…
…0001111000000
310002002202122220
42220132033000
542301222112
64214331040
71044250053
oct250361700
9102082586
1044164032
1122a25100
1212959a80
1391c3c83
145c18a9a
153d2598c
hex2a1e3c0

44164032 has 84 divisors (see below), whose sum is σ = 128506728. Its totient is φ = 13376000.

The previous prime is 44164019. The next prime is 44164039. The reversal of 44164032 is 23046144.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 44163993 and 44164011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44164039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22282 + ... + 24182.

It is an arithmetic number, because the mean of its divisors is an integer number (1529842).

Almost surely, 244164032 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 44164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64253364).

44164032 is an abundant number, since it is smaller than the sum of its proper divisors (84342696).

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

44164032 is a wasteful number, since it uses less digits than its factorization.

44164032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 44164032 is about 6645.6024557597. The cubic root of 44164032 is about 353.4729941151.

It can be divided in two parts, 4416 and 4032, that added together give a palindrome (8448).

The spelling of 44164032 in words is "forty-four million, one hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1901 1936 2112 2904 3802 3872 5703 5808 7604 7744 11406 11616 15208 20911 22812 23232 30416 41822 45624 60832 62733 83644 91248 121664 125466 167288 182496 230021 250932 334576 364992 460042 501864 669152 690063 920084 1003728 1338304 1380126 1840168 2007456 2760252 3680336 4014912 5520504 7360672 11041008 14721344 22082016 44164032