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2440256 = 26713419
BaseRepresentation
bin1001010011110001000000
311120222101212
421103301000
51111042011
6124145252
726512310
oct11236100
94528355
102440256
111417445
12998228
13675950
14477440
1533308b
hex253c40

2440256 has 56 divisors (see below), whose sum is σ = 5974080. Its totient is φ = 963072.

The previous prime is 2440253. The next prime is 2440259. The reversal of 2440256 is 6520442.

It is an interprime number because it is at equal distance from previous prime (2440253) and next prime (2440259).

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (2440253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5615 + ... + 6033.

It is an arithmetic number, because the mean of its divisors is an integer number (106680).

22440256 is an apocalyptic number.

2440256 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 2440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987040).

2440256 is an abundant number, since it is smaller than the sum of its proper divisors (3533824).

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

2440256 is a wasteful number, since it uses less digits than its factorization.

2440256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2440256 is about 1562.1318766353. The cubic root of 2440256 is about 134.6310180232.

Adding to 2440256 its reverse (6520442), we get a palindrome (8960698).

The spelling of 2440256 in words is "two million, four hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 419 448 728 832 838 1456 1676 2912 2933 3352 5447 5824 5866 6704 10894 11732 13408 21788 23464 26816 38129 43576 46928 76258 87152 93856 152516 174304 187712 305032 348608 610064 1220128 2440256