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11418048 = 263243461
BaseRepresentation
bin101011100011…
…100111000000
3210111002121200
4223203213000
510410334143
61044421200
7166023525
oct53434700
923432550
1011418048
116499604
1239a7800
13249a155
14173314c
1510081d3
hexae39c0

11418048 has 84 divisors (see below), whose sum is σ = 33561528. Its totient is φ = 3709440.

The previous prime is 11418047. The next prime is 11418059. The reversal of 11418048 is 84081411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11418047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24538 + ... + 24998.

It is an arithmetic number, because the mean of its divisors is an integer number (399542).

Almost surely, 211418048 is an apocalyptic number.

11418048 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 11418048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16780764).

11418048 is an abundant number, since it is smaller than the sum of its proper divisors (22143480).

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

11418048 is a wasteful number, since it uses less digits than its factorization.

11418048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 11418048 is about 3379.0602243819. The cubic root of 11418048 is about 225.1804182543.

Adding to 11418048 its reverse (84081411), we get a palindrome (95499459).

The spelling of 11418048 in words is "eleven million, four hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 461 516 576 688 774 922 1032 1376 1383 1548 1844 2064 2752 2766 3096 3688 4128 4149 5532 6192 7376 8256 8298 11064 12384 14752 16596 19823 22128 24768 29504 33192 39646 44256 59469 66384 79292 88512 118938 132768 158584 178407 237876 265536 317168 356814 475752 634336 713628 951504 1268672 1427256 1903008 2854512 3806016 5709024 11418048