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13650048 = 273217241
BaseRepresentation
bin110100000100…
…100010000000
3221200111100100
4310010202000
511443300143
61204322400
7224011026
oct64044200
927614310
1013650048
117783535
1246a3400
132a9c069
141b54716
1512e96d3
hexd04880

13650048 has 144 divisors (see below), whose sum is σ = 42743610. Its totient is φ = 4177920.

The previous prime is 13650047. The next prime is 13650059. The reversal of 13650048 is 84005631.

13650048 is a `hidden beast` number, since 1 + 3 + 650 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11778624 + 1871424 = 3432^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (13650047) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 332908 + ... + 332948.

Almost surely, 213650048 is an apocalyptic number.

13650048 is a gapful number since it is divisible by the number (18) 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 13650048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21371805).

13650048 is an abundant number, since it is smaller than the sum of its proper divisors (29093562).

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

13650048 is a wasteful number, since it uses less digits than its factorization.

13650048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13650048 is about 3694.5971363601. The cubic root of 13650048 is about 238.9890811582.

Adding to 13650048 its reverse (84005631), we get a palindrome (97655679).

The spelling of 13650048 in words is "thirteen million, six hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 41 48 51 64 68 72 82 96 102 123 128 136 144 153 164 192 204 246 272 288 289 306 328 369 384 408 492 544 576 578 612 656 697 738 816 867 984 1088 1152 1156 1224 1312 1394 1476 1632 1734 1968 2091 2176 2312 2448 2601 2624 2788 2952 3264 3468 3936 4182 4624 4896 5202 5248 5576 5904 6273 6528 6936 7872 8364 9248 9792 10404 11152 11808 11849 12546 13872 15744 16728 18496 19584 20808 22304 23616 23698 25092 27744 33456 35547 36992 41616 44608 47232 47396 50184 55488 66912 71094 83232 89216 94792 100368 106641 110976 133824 142188 166464 189584 200736 213282 267648 284376 332928 379168 401472 426564 568752 758336 802944 853128 1137504 1516672 1706256 2275008 3412512 4550016 6825024 13650048