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1048911444 = 2237722447
BaseRepresentation
bin111110100001010…
…001111001010100
32201002201020000000
4332201101321110
54122010131234
6252025451300
734664412600
oct7641217124
92632636000
101048911444
114990a0769
12253340b30
13139403c79
149d440500
1562143899
hex3e851e54

1048911444 has 144 divisors (see below), whose sum is σ = 3203746560. Its totient is φ = 299566512.

The previous prime is 1048911439. The next prime is 1048911463. The reversal of 1048911444 is 4441198401.

1048911444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10489114442 = 2200430434708330272, which contains 22 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 = 1048911399 and 1048911408.

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, 427429 + ... + 429875.

It is an arithmetic number, because the mean of its divisors is an integer number (22248240).

Almost surely, 21048911444 is an apocalyptic number.

1048911444 is a gapful number since it is divisible by the number (14) 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 1048911444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601873280).

1048911444 is an abundant number, since it is smaller than the sum of its proper divisors (2154835116).

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

1048911444 is an equidigital number, since it uses as much as digits as its factorization.

1048911444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1048911444 is about 32386.9023526487. The cubic root of 1048911444 is about 1016.0449958889.

The spelling of 1048911444 in words is "one billion, forty-eight million, nine hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 729 756 882 972 1134 1323 1458 1701 1764 2187 2268 2447 2646 2916 3402 3969 4374 4894 5103 5292 6804 7341 7938 8748 9788 10206 11907 14682 15309 15876 17129 20412 22023 23814 29364 30618 34258 35721 44046 47628 51387 61236 66069 68516 71442 88092 102774 107163 119903 132138 142884 154161 198207 205548 214326 239806 264276 308322 359709 396414 428652 462483 479612 594621 616644 719418 792828 924966 1079127 1189242 1387449 1438836 1783863 1849932 2158254 2378484 2774898 3237381 3567726 4162347 4316508 5351589 5549796 6474762 7135452 8324694 9712143 10703178 12487041 12949524 16649388 19424286 21406356 24974082 29136429 37461123 38848572 49948164 58272858 74922246 87409287 116545716 149844492 174818574 262227861 349637148 524455722 1048911444