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44442420 = 223511172233
BaseRepresentation
bin1010100110001…
…0001100110100
310002121220112120
42221202030310
542334124140
64224315540
71046516511
oct251421464
9102556476
1044442420
11230a5280
1212a72bb0
1392908b9
145c8c308
153d7d1d0
hex2a62334

44442420 has 144 divisors (see below), whose sum is σ = 144825408. Its totient is φ = 10096640.

The previous prime is 44442383. The next prime is 44442421. The reversal of 44442420 is 2424444.

It is a super-3 number, since 3×444424203 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44442421) 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 47 ways as a sum of consecutive naturals, for example, 190624 + ... + 190856.

It is an arithmetic number, because the mean of its divisors is an integer number (1005732).

Almost surely, 244442420 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 44442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72412704).

44442420 is an abundant number, since it is smaller than the sum of its proper divisors (100382988).

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

44442420 is a wasteful number, since it uses less digits than its factorization.

44442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 44442420 is about 6666.5148316043. The cubic root of 44442420 is about 354.2141447461.

Adding to 44442420 its reverse (2424444), we get a palindrome (46866864).

It can be divided in two parts, 444424 and 20, that added together give a palindrome (444444).

The spelling of 44442420 in words is "forty-four million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 233 255 289 330 340 374 466 510 561 578 660 699 748 867 932 935 1020 1122 1156 1165 1398 1445 1734 1870 2244 2330 2563 2796 2805 2890 3179 3468 3495 3740 3961 4335 4660 5126 5610 5780 6358 6990 7689 7922 8670 9537 10252 11220 11883 12716 12815 13980 15378 15844 15895 17340 19074 19805 23766 25630 30756 31790 38148 38445 39610 43571 47532 47685 51260 59415 63580 67337 76890 79220 87142 95370 118830 130713 134674 153780 174284 190740 202011 217855 237660 261426 269348 336685 404022 435710 522852 653565 673370 740707 808044 871420 1010055 1307130 1346740 1481414 2020110 2222121 2614260 2962828 3703535 4040220 4444242 7407070 8888484 11110605 14814140 22221210 44442420