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11245248 = 263272789
BaseRepresentation
bin101010111001…
…011011000000
3210011022120200
4222321123000
510334321443
61041005200
7164403660
oct52713300
923138520
1011245248
1163907a3
123923800
1324395c1
1416ca1a0
15ec1dd3
hexab96c0

11245248 has 84 divisors (see below), whose sum is σ = 36850320. Its totient is φ = 3211776.

The previous prime is 11245187. The next prime is 11245259. The reversal of 11245248 is 84254211.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

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, 2638 + ... + 5426.

Almost surely, 211245248 is an apocalyptic number.

11245248 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 11245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18425160).

11245248 is an abundant number, since it is smaller than the sum of its proper divisors (25605072).

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

11245248 is a wasteful number, since it uses less digits than its factorization.

11245248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2801 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 11245248 is about 3353.3935050930. The cubic root of 11245248 is about 224.0386837953.

Adding to 11245248 its reverse (84254211), we get a palindrome (95499459).

The spelling of 11245248 in words is "eleven million, two hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 2789 4032 5578 8367 11156 16734 19523 22312 25101 33468 39046 44624 50202 58569 66936 78092 89248 100404 117138 133872 156184 175707 178496 200808 234276 267744 312368 351414 401616 468552 535488 624736 702828 803232 937104 1249472 1405656 1606464 1874208 2811312 3748416 5622624 11245248