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44211684 = 223113071091
BaseRepresentation
bin1010100010100…
…1110111100100
310002012012000210
42220221313210
542304233214
64215335420
71044536016
oct250516744
9102165023
1044211684
1122a57990
1212981570
13920c87a
145c2c1b6
153d34b59
hex2a29de4

44211684 has 48 divisors (see below), whose sum is σ = 113008896. Its totient is φ = 13341600.

The previous prime is 44211677. The next prime is 44211701. The reversal of 44211684 is 48611244.

44211684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39979 + ... + 41069.

It is an arithmetic number, because the mean of its divisors is an integer number (2354352).

Almost surely, 244211684 is an apocalyptic number.

44211684 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 44211684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56504448).

44211684 is an abundant number, since it is smaller than the sum of its proper divisors (68797212).

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

44211684 is a wasteful number, since it uses less digits than its factorization.

44211684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1414 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 44211684 is about 6649.1867171858. The cubic root of 44211684 is about 353.6000782300.

It can be divided in two parts, 4421 and 1684, that added together give a triangular number (6105 = T110).

The spelling of 44211684 in words is "forty-four million, two hundred eleven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 307 614 921 1091 1228 1842 2182 3273 3377 3684 4364 6546 6754 10131 12001 13092 13508 20262 24002 36003 40524 48004 72006 144012 334937 669874 1004811 1339748 2009622 3684307 4019244 7368614 11052921 14737228 22105842 44211684