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11209248 = 253238921
BaseRepresentation
bin101010110000…
…101000100000
3210002111012100
4222300220200
510332143443
61040130400
7164164011
oct52605040
923074170
1011209248
116366746
123906a00
1324260bb
1416bb008
15eb63d3
hexab0a20

11209248 has 36 divisors (see below), whose sum is σ = 31877118. Its totient is φ = 3736320.

The previous prime is 11209243. The next prime is 11209249. The reversal of 11209248 is 84290211.

It can be written as a sum of positive squares in only one way, i.e., 11209104 + 144 = 3348^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (11209243) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19173 + ... + 19748.

Almost surely, 211209248 is an apocalyptic number.

11209248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11209248 is an abundant number, since it is smaller than the sum of its proper divisors (20667870).

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

11209248 is a wasteful number, since it uses less digits than its factorization.

11209248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38937 (or 38926 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11209248 is about 3348.0215053073. The cubic root of 11209248 is about 223.7993526373.

Adding to 11209248 its reverse (84290211), we get a palindrome (95499459).

The spelling of 11209248 in words is "eleven million, two hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 38921 77842 116763 155684 233526 311368 350289 467052 622736 700578 934104 1245472 1401156 1868208 2802312 3736416 5604624 11209248