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11233248 = 253139001
BaseRepresentation
bin101010110110…
…011111100000
3210010201010020
4222312133200
510333430443
61040433440
7164323665
oct52663740
923121106
1011233248
116382784
123918880
132433cc0
1416c5a6c
15ebd583
hexab67e0

11233248 has 48 divisors (see below), whose sum is σ = 31759056. Its totient is φ = 3456000.

The previous prime is 11233241. The next prime is 11233249. The reversal of 11233248 is 84233211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3253 + ... + 5748.

It is an arithmetic number, because the mean of its divisors is an integer number (661647).

Almost surely, 211233248 is an apocalyptic number.

It is an amenable number.

11233248 is an abundant number, since it is smaller than the sum of its proper divisors (20525808).

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

11233248 is a wasteful number, since it uses less digits than its factorization.

11233248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9027 (or 9019 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 11233248 is about 3351.6037952001. The cubic root of 11233248 is about 223.9589635711.

Adding to 11233248 its reverse (84233211), we get a palindrome (95466459).

It can be divided in two parts, 1123 and 3248, that added together give a triangular number (4371 = T93).

The spelling of 11233248 in words is "eleven million, two hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 9001 18002 27003 36004 54006 72008 108012 117013 144016 216024 234026 288032 351039 432048 468052 702078 864096 936104 1404156 1872208 2808312 3744416 5616624 11233248