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11293248 = 263131449
BaseRepresentation
bin101011000101…
…001001000000
3210020202102110
4223011021000
510342340443
61042015320
7164663631
oct53051100
923222373
1011293248
11641386a
123947540
1324553c5
1416dd888
15ed1233
hexac5240

11293248 has 56 divisors (see below), whose sum is σ = 30175200. Its totient is φ = 3727360.

The previous prime is 11293241. The next prime is 11293259. The reversal of 11293248 is 84239211.

It is not an unprimeable number, because it can be changed into a prime (11293241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24928 + ... + 25376.

Almost surely, 211293248 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 11293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087600).

11293248 is an abundant number, since it is smaller than the sum of its proper divisors (18881952).

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

11293248 is a wasteful number, since it uses less digits than its factorization.

11293248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 585 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 11293248 is about 3360.5428132967. The cubic root of 11293248 is about 224.3569987602.

The spelling of 11293248 in words is "eleven million, two hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 449 524 786 898 1048 1347 1572 1796 2096 2694 3144 3592 4192 5388 6288 7184 8384 10776 12576 14368 21552 25152 28736 43104 58819 86208 117638 176457 235276 352914 470552 705828 941104 1411656 1882208 2823312 3764416 5646624 11293248