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2543264 = 25194789
BaseRepresentation
bin1001101100111010100000
311210012200222
421230322200
51122341024
6130302212
730421523
oct11547240
94705628
102543264
111487879
12a27968
136b07b9
144a2bba
1535385e
hex26cea0

2543264 has 48 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 1165824.

The previous prime is 2543257. The next prime is 2543279. The reversal of 2543264 is 4623452.

It is a d-powerful number, because it can be written as 2 + 59 + 43 + 35 + 219 + 6 + 48 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28532 + ... + 28620.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22543264 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 2543264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2543264 is an abundant number, since it is smaller than the sum of its proper divisors (2899936).

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

2543264 is a wasteful number, since it uses less digits than its factorization.

2543264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 2543264 is about 1594.7614241635. The cubic root of 2543264 is about 136.4993179355.

It can be divided in two parts, 25 and 43264, that multiplied together give a square (1081600 = 10402).

The spelling of 2543264 in words is "two million, five hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 47 76 89 94 152 178 188 304 356 376 608 712 752 893 1424 1504 1691 1786 2848 3382 3572 4183 6764 7144 8366 13528 14288 16732 27056 28576 33464 54112 66928 79477 133856 158954 317908 635816 1271632 2543264