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11482944 = 263115437
BaseRepresentation
bin101011110011…
…011101000000
3210121101122020
4223303131000
510414423234
61050041440
7166413654
oct53633500
923541566
1011482944
116533340
123a19280
1324c0855
14174ca64
15101c549
hexaf3740

11482944 has 56 divisors (see below), whose sum is σ = 33150048. Its totient is φ = 3479040.

The previous prime is 11482937. The next prime is 11482951. The reversal of 11482944 is 44928411.

11482944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11482937) and next prime (11482951).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 607 + ... + 4830.

Almost surely, 211482944 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 11482944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16575024).

11482944 is an abundant number, since it is smaller than the sum of its proper divisors (21667104).

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

11482944 is a wasteful number, since it uses less digits than its factorization.

11482944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5463 (or 5453 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 11482944 is about 3388.6492884334. The cubic root of 11482944 is about 225.6062268791.

The spelling of 11482944 in words is "eleven million, four hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 5437 10874 16311 21748 32622 43496 59807 65244 86992 119614 130488 173984 179421 239228 260976 347968 358842 478456 521952 717684 956912 1043904 1435368 1913824 2870736 3827648 5741472 11482944