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11495296 = 27312897
BaseRepresentation
bin101011110110…
…011110000000
3210122000120201
4223312132000
510420322141
61050214544
7166464661
oct53663600
923560521
1011495296
11654164a
123a24454
1324c6367
141753368
151021031
hexaf6780

11495296 has 32 divisors (see below), whose sum is σ = 23647680. Its totient is φ = 5560320.

The previous prime is 11495291. The next prime is 11495303. The reversal of 11495296 is 69259411.

11495296 is nontrivially palindromic in base 7.

11495296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11495291) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2520 + ... + 5416.

It is an arithmetic number, because the mean of its divisors is an integer number (738990).

Almost surely, 211495296 is an apocalyptic number.

11495296 is a gapful number since it is divisible by the number (16) 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 11495296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11823840).

11495296 is an abundant number, since it is smaller than the sum of its proper divisors (12152384).

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

11495296 is an equidigital number, since it uses as much as digits as its factorization.

11495296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2930 counting only the distinct ones).

The product of its digits is 19440, while the sum is 37.

The square root of 11495296 is about 3390.4713536616. The cubic root of 11495296 is about 225.6870914354.

The spelling of 11495296 in words is "eleven million, four hundred ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 2897 3968 5794 11588 23176 46352 89807 92704 179614 185408 359228 370816 718456 1436912 2873824 5747648 11495296