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44116020 = 2232513171109
BaseRepresentation
bin1010100001001…
…0100000110100
310002000022210200
42220102200310
542243203040
64213320500
71043660064
oct250224064
9102008720
1044116020
11229a2023
1212936130
1391a8170
145c053a4
153d16630
hex2a12834

44116020 has 144 divisors (see below), whose sum is σ = 152727120. Its totient is φ = 10211328.

The previous prime is 44116019. The next prime is 44116067. The reversal of 44116020 is 2061144.

It can be written as a sum of positive squares in 8 ways, for example, as 8259876 + 35856144 = 2874^2 + 5988^2 .

It is a super-4 number, since 4×441160204 (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 44115984 and 44116002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39226 + ... + 40334.

It is an arithmetic number, because the mean of its divisors is an integer number (1060605).

Almost surely, 244116020 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 44116020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76363560).

44116020 is an abundant number, since it is smaller than the sum of its proper divisors (108611100).

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

44116020 is a wasteful number, since it uses less digits than its factorization.

44116020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 44116020 is about 6641.9891598828. The cubic root of 44116020 is about 353.3448574225.

Adding to 44116020 its reverse (2061144), we get a palindrome (46177164).

It can be divided in two parts, 441 and 16020, that added together give a palindrome (16461).

The spelling of 44116020 in words is "forty-four million, one hundred sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1109 1170 1326 1530 1989 2210 2218 2340 2652 3060 3315 3327 3978 4420 4436 5545 6630 6654 7956 9945 9981 11090 13260 13308 14417 16635 18853 19890 19962 22180 28834 33270 37706 39780 39924 43251 49905 56559 57668 66540 72085 75412 86502 94265 99810 113118 129753 144170 169677 173004 188530 199620 216255 226236 245089 259506 282795 288340 339354 377060 432510 490178 519012 565590 648765 678708 735267 848385 865020 980356 1131180 1225445 1297530 1470534 1696770 2205801 2450890 2595060 2941068 3393540 3676335 4411602 4901780 7352670 8823204 11029005 14705340 22058010 44116020