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44981244 = 2235711601
BaseRepresentation
bin1010101110010…
…1101111111100
310010122021200000
42223211233330
543003344434
64244034300
71054222440
oct253455774
9103567600
1044981244
1123433090
1213092990
13941bc29
145d8c820
153e37b99
hex2ae5bfc

44981244 has 144 divisors (see below), whose sum is σ = 147254016. Its totient is φ = 11664000.

The previous prime is 44981243. The next prime is 44981273. The reversal of 44981244 is 44218944.

It is a super-3 number, since 3×449812443 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44981199 and 44981208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44981243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74544 + ... + 75144.

Almost surely, 244981244 is an apocalyptic number.

44981244 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 44981244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73627008).

44981244 is an abundant number, since it is smaller than the sum of its proper divisors (102272772).

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

44981244 is a wasteful number, since it uses less digits than its factorization.

44981244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 624 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 44981244 is about 6706.8057970989. The cubic root of 44981244 is about 355.6399064774.

The spelling of 44981244 in words is "forty-four million, nine hundred eighty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 243 252 297 308 324 378 396 462 486 567 594 601 693 756 891 924 972 1134 1188 1202 1386 1701 1782 1803 2079 2268 2404 2673 2772 3402 3564 3606 4158 4207 5346 5409 6237 6611 6804 7212 8316 8414 10692 10818 12474 12621 13222 16227 16828 18711 19833 21636 24948 25242 26444 32454 37422 37863 39666 46277 48681 50484 59499 64908 74844 75726 79332 92554 97362 113589 118998 138831 146043 151452 178497 185108 194724 227178 237996 277662 292086 340767 356994 416493 454356 535491 555324 584172 681534 713988 832986 1022301 1070982 1249479 1363068 1606473 1665972 2044602 2141964 2498958 3212946 3748437 4089204 4997916 6425892 7496874 11245311 14993748 22490622 44981244