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2752256 = 2813827
BaseRepresentation
bin1010011111111100000000
312011211101102
422133330000
51201033011
6134553532
732252033
oct12377400
95154342
102752256
11160a8a1
12b088a8
13754970
1451901a
1539573b
hex29ff00

2752256 has 36 divisors (see below), whose sum is σ = 5923512. Its totient is φ = 1268736.

The previous prime is 2752247. The next prime is 2752261. The reversal of 2752256 is 6522572.

2752256 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2915 + ... + 3741.

It is an arithmetic number, because the mean of its divisors is an integer number (164542).

22752256 is an apocalyptic number.

2752256 is a gapful number since it is divisible by the number (26) 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 2752256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961756).

2752256 is an abundant number, since it is smaller than the sum of its proper divisors (3171256).

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

2752256 is an equidigital number, since it uses as much as digits as its factorization.

2752256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 842 counting only the distinct ones).

The product of its digits is 8400, while the sum is 29.

The square root of 2752256 is about 1658.9924653235. The cubic root of 2752256 is about 140.1402675807.

The spelling of 2752256 in words is "two million, seven hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 827 832 1654 1664 3308 3328 6616 10751 13232 21502 26464 43004 52928 86008 105856 172016 211712 344032 688064 1376128 2752256