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11448500 = 225373271
BaseRepresentation
bin101011101011…
…000010110100
3210112122101112
4223223002310
510412323000
61045214152
7166211360
oct53530264
923478345
1011448500
11650a478
123a01358
1324aac7b
1417402a0
151012235
hexaeb0b4

11448500 has 48 divisors (see below), whose sum is σ = 28584192. Its totient is φ = 3924000.

The previous prime is 11448499. The next prime is 11448511. The reversal of 11448500 is 584411.

11448500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1865 + ... + 5135.

It is an arithmetic number, because the mean of its divisors is an integer number (595504).

Almost surely, 211448500 is an apocalyptic number.

11448500 is a gapful number since it is divisible by the number (10) 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 11448500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14292096).

11448500 is an abundant number, since it is smaller than the sum of its proper divisors (17135692).

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

11448500 is a wasteful number, since it uses less digits than its factorization.

11448500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 11448500 is about 3383.5632105814. The cubic root of 11448500 is about 225.3804263775.

The spelling of 11448500 in words is "eleven million, four hundred forty-eight thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1750 3271 3500 6542 13084 16355 22897 32710 45794 65420 81775 91588 114485 163550 228970 327100 408875 457940 572425 817750 1144850 1635500 2289700 2862125 5724250 11448500