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11449944 = 2333116179
BaseRepresentation
bin101011101011…
…011001011000
3210112201101000
4223223121120
510412344234
61045225000
7166215522
oct53533130
923481330
1011449944
116510570
123a02160
1324ab81c
141740a12
151012899
hexaeb658

11449944 has 128 divisors (see below), whose sum is σ = 35712000. Its totient is φ = 3369600.

The previous prime is 11449927. The next prime is 11449967. The reversal of 11449944 is 44994411.

It is a super-2 number, since 2×114499442 = 262202435206272, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11449899 and 11449908.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 144897 + ... + 144975.

It is an arithmetic number, because the mean of its divisors is an integer number (279000).

Almost surely, 211449944 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 11449944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

11449944 is an abundant number, since it is smaller than the sum of its proper divisors (24262056).

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

11449944 is a wasteful number, since it uses less digits than its factorization.

11449944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 156 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 11449944 is about 3383.7765883699. The cubic root of 11449944 is about 225.3899017281.

The spelling of 11449944 in words is "eleven million, four hundred forty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 61 66 72 79 88 99 108 122 132 158 183 198 216 237 244 264 297 316 366 396 474 488 549 594 632 671 711 732 792 869 948 1098 1188 1342 1422 1464 1647 1738 1896 2013 2133 2196 2376 2607 2684 2844 3294 3476 4026 4266 4392 4819 5214 5368 5688 6039 6588 6952 7821 8052 8532 9638 10428 12078 13176 14457 15642 16104 17064 18117 19276 20856 23463 24156 28914 31284 36234 38552 43371 46926 48312 53009 57828 62568 72468 86742 93852 106018 115656 130113 144936 159027 173484 187704 212036 260226 318054 346968 424072 477081 520452 636108 954162 1040904 1272216 1431243 1908324 2862486 3816648 5724972 11449944