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44088044 = 2272113132
BaseRepresentation
bin1010100000101…
…1101011101100
310001221220102112
42220023223230
542241304134
64212543152
71043512400
oct250135354
9101856375
1044088044
1122983000
1212921ab8
139198500
145bd9100
153d0d1ce
hex2a0baec

44088044 has 108 divisors (see below), whose sum is σ = 106896888. Its totient is φ = 15855840.

The previous prime is 44088007. The next prime is 44088047.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

44088044 is nontrivially palindromic in base 10.

44088044 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 (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 44088044.

It is not an unprimeable number, because it can be changed into a prime (44088047) 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 35 ways as a sum of consecutive naturals, for example, 3391382 + ... + 3391394.

It is an arithmetic number, because the mean of its divisors is an integer number (989786).

Almost surely, 244088044 is an apocalyptic number.

44088044 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 44088044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53448444).

44088044 is an abundant number, since it is smaller than the sum of its proper divisors (62808844).

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

44088044 is a wasteful number, since it uses less digits than its factorization.

44088044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 44088044 is about 6639.8828302915. The cubic root of 44088044 is about 353.2701508796.

The spelling of 44088044 in words is "forty-four million, eighty-eight thousand, forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 121 143 154 169 182 196 242 286 308 338 364 484 539 572 637 676 847 1001 1078 1183 1274 1331 1573 1694 1859 2002 2156 2366 2548 2662 3146 3388 3718 4004 4732 5324 5929 6292 7007 7436 8281 9317 11011 11858 13013 14014 16562 17303 18634 20449 22022 23716 26026 28028 33124 34606 37268 40898 44044 52052 65219 69212 77077 81796 91091 121121 130438 143143 154154 182182 224939 242242 260876 286286 308308 364364 449878 484484 572572 847847 899756 1002001 1574573 1695694 2004002 3149146 3391388 4008004 6298292 11022011 22044022 44088044